LCM and HCF Formulas

Basic Formulas of LCM and HCF

LCM and HCF formulas, properties and important ways to solve LCM and HCF Questions are given below on this page below..

Using Formulas of HCF and LCM  in Questions

Question:   Calculate the highest number that will divide 43, 91 and 183 and leaves the same remainder in each case

Options

A. 4

B. 7

C. 9

D. 13

Solution:    Required number = H.C.F. of (91 – 43), (183 – 91) and (183 – 43)

H.C.F. of 48, 92 and 140 = 4.

Correct Answer : A

Question: Which of the following is  greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

Options

A. 9700

B. 9600

C. 9800

D. 9650

Solution:    Greatest number of 4-digits is 9999.

Now , find the L.C.M. of 15, 25, 40 and 75 i.e.  600.

On dividing 9999 by 600, the remainder is 399.

Hence,  Required number (9999 – 399) = 9600.

Correct Answer : B

Question:   The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

Options

A. 25 cm

B. 15 cm

C. 35 cm

D. 55 cm

Solution:     Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

Correct Answer : C

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