Question

what is the H.C.F of 30,45 and 60

Answer 1

Answer:Greatest common factor (GCF) of 30 and 45 is 15.

Step-by-step explanation:Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

Prime Factorization of 45

Prime factors of 45 are 3, 5. Prime factorization of 45 in exponential form is:

45 = 32 × 51

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

Factors of 45

List of positive integer factors of 45 that divides 30 without a remainder.

1, 3, 5, 9, 15

Greatest Common Factor

We found the factors and prime factorization of 30 and 45. The biggest common factor number is the GCF number.

So the greatest common factor 30 and 45 is 15.

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Answer 2

SOLUTION

TO DETERMINE

HCF of the numbers 30 , 45 and 60

EVALUATION

Here the given numbers are 30 , 45 and 60

We prime factorise the given numbers

30 = 2 × 3 × 5

45 = 3 × 3 × 5

60 = 2 × 2 × 3 × 5

Hence the required HCF

= Highest Common Factor

= 3 × 5

= 15

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