Mathematics Class 6 NCERT Solutions: Chapter 3 Playing With Numbers Exercise 3.6

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Image of Highest Common Factor

Image of Highest Common Factor

Image of Highest Common Factor

Q.1 Find the H.C.F. of the following numbers:

(a)

Answer: Factors of

Factors of

H.C.F.

(b)

Answer: Factors of

Factors of

H.C.F.

(c)

Answer: Factors of

Factors of

H.C.F.

(d)

Answer: Factors of

Factors of

H.C.F.

(e)

Answer: Factors of

Factors of

H.C.F.

(f)

Answer: Factors of

Factors of

H.C.F.

(g)

Answer: Factors of

Factors of

H.C.F.

(h)

Answer: Factors of

Factors of

Factors of

H.C.F.

(i)

Answer: Factors of

Factors of

Factors of

H.C.F.

(j)

Answer: Factors of

Factors of

Factors of

H.C.F.

Q.2 What is the H.C.F. of two consecutive:

(a) Numbers?

Answer: H.C.F. of two consecutive numbers be 1.

Ex. HCF of 2 and 3 is 1.

(b) even numbers?

Answer: H.C.F. of two consecutive even numbers be 2.

Ex. HCF of 4 and 6 is 2.

(c) odd numbers?

Answer: H.C.F. of two consecutive odd numbers be 1.

Ex. HCF of 5 and 7 is 1.

Q.3 H.C.F. of co-prime numbers and was found as follows by factorization: and since there is no common prime factor, so H.C.F. of and is .

Is the answer correct? If not, what is the correct H.C.F.?

Answer: No.

The correct H.C.F. is .