HCF Question and Answers

HCF Questions​

Highest Common Factor (HCF) of two or more numbers is the greatest number that can divide each number evenly or accurately.On this page you’ll Find HCF Question and Answers to practice and improve your concept and understanding of HCF. There are two methods to find HCF which are as follows:-

  • Prime Factorization Method
  • Long Division Method

Let us look at some of the formulas which are helpful to solve HCF Questions easily and quickly.

HCF and LCM Questions and Answers

Formula or Rule for finding the HCF Question and Answers of given numbers:

HCF In case of only two numbers:

  • Suppose the question asks to calculate the HCF of any two numbers. Then Divide the greater number by the smaller one.
  • Now divide the divisor by the remainder.
  • Keep dividing the preceding divisor with the remainder until a Zero remainder is obtained.
  • The last divisor obtained will be the HCF of those two given numbers.

HCF Question and Answers In case of more than two numbers:

  • Choose any two numbers and find their HCF by applying the method mentioned above.
  • The HCF of these two numbers and the third number will be the HCF of all three numbers and so forth.

Let us now solve some of the questions to clear the concept of HCF:-

Question 1

Time: 00:00:00
Find the HCF of 777 and 1147?

13

13

55

55

24

24

37

37

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Question 2

Time: 00:00:00
What is the HCF of 6851, 9061, 18462?

15

15

17

17

33

33

41

41

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Question 3

Time: 00:00:00
What is the HCF of 598, 874?

49

49

47

47

46

46

None of the above

None of the above

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Question 4

Time: 00:00:00
what is the HCF of 32712, 4002?

174

174

175

175

179

179

181

181

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Question 5

Time: 00:00:00
What is the HCF of 2923, 3239?

74

74

75

75

79

79

81

81

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Question 6

Time: 00:00:00
what is the HCF of 42, 63 & 140?

7

7

5

5

9

9

8

8

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Question 7

Time: 00:00:00
Find the HCF of 3/8, 5/12, and 9/14?

HCF 1/168

HCF 1/168

HCF 2/169

HCF 2/169

HCF 5/168

HCF 5/168

None of the Above

None of the Above

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Question 8

Time: 00:00:00
Find the highest number, which divides 590   908   1014 and leaves the same remainder in each case?

150

150

106

106

159

159

57

57

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Question 9

Time: 00:00:00
The HCF of two number is 42, and their LCM is 1260. If one of the figures is 210, find the other number?

250

250

252

252

256

256

248

248

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Question 10

Time: 00:00:00
Calculate the HCF of 22 and 33

11

11

12

12

15

15

None of the above

None of the above

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Question 11

Time: 00:00:00
Find 2 numbers of 3 digits each whose HCF is 80 and LCM is 5760?

640, 720

640, 720

722, 854

722, 854

235, 363

235, 363

524, 612

524, 612

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Question 12

Time: 00:00:00
Find the greatest number of 4 digits, which is divisible by each one of the numbers 12, 18, 21, and 28?

9778

9778

9954

9954

9828

9828

9921

9921

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Question 13

Time: 00:00:00
What will be the highest number by which 373 and 813 are divided leaves the remainder 8 and 10 respectively?

63

63

69

69

71

71

73

73