Greatest Common Factor of 32/77, 15/97, 696/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 32/77, 15/97, 696/527

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 32/77,15/97,696/527

Given fractions are 32/77,15/97,696/527

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 32,15,696

Greatest Common Factor of Numerators i.e. GCF of 32,15,696 is 1 .

LCM of Denominators means LCM of 77,97,527 as per the given fractions.

LCM of 77,97,527 is 3936163 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,15,696

GCF of Fractions 32/77,15/97,696/527 is 1/3936163

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 32,15,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,15,696 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 32,15,696 . The biggest common factor number is the GCF number.
So the greatest common factor 32,15,696 is 1.


Lets's calculate LCM of 77,97,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 3936163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3936163

Therefore, the GCF of Fractions 32/77,15/97,696/527 is 1/3936163

Least Common Multiple of 77,97,527 with GCF Formula

Least Common Multiple of 77,97,527 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 77,97,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,97,527) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,97,527) x common factors =1 x 1 = 1

LCM(77,97,527) = ( 77 × 97 × 527 ) / 1

LCM(77,97,527) = 3936163 / 1

LCM(77,97,527) = 3936163


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 32/77, 15/97, 696/527

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 32/77, 15/97, 696/527?

Answer: GCF of Numerators as per given numbers 32/77, 15/97, 696/527 is

GCF of Numerators i.e. for 32,15,696 is 1

LCM of denominators i.e. for 77,97,527 is 3936163.

Thus, GCF of Fractions is 1/3936163.Finally, GCF of Fractions for 32/77, 15/97, 696/527 is 1/3936163.