Greatest Common Factor of 748/88, 356/97, 964/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/88, 356/97, 964/921

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 748/88,356/97,964/921

Given fractions are 748/88,356/97,964/921

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 748,356,964

Greatest Common Factor of Numerators i.e. GCF of 748,356,964 is 4 .

LCM of Denominators means LCM of 88,97,921 as per the given fractions.

LCM of 88,97,921 is 7861656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,356,964

GCF of Fractions 748/88,356/97,964/921 is 4/7861656

2 748, 356, 964
2 374, 178, 482
187, 89, 241

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 748,356,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,356,964 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 748,356,964 . The biggest common factor number is the GCF number.
So the greatest common factor 748,356,964 is 4.

Lets's calculate LCM of 88,97,921

Given numbers has no common factors except 1. So, there LCM is their product i.e 7861656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7861656

Therefore, the GCF of Fractions 748/88,356/97,964/921 is 4/7861656

Least Common Multiple of 88,97,921 with GCF Formula

Least Common Multiple of 88,97,921 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 88,97,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,97,921) = 1

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

GCF(88,97,921) x common factors =1 x 1 = 1

LCM(88,97,921) = ( 88 × 97 × 921 ) / 1

LCM(88,97,921) = 7861656 / 1

LCM(88,97,921) = 7861656


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 748/88, 356/97, 964/921

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 748/88, 356/97, 964/921?

Answer: GCF of Numerators as per given numbers 748/88, 356/97, 964/921 is

GCF of Numerators i.e. for 748,356,964 is 4

LCM of denominators i.e. for 88,97,921 is 7861656.

Thus, GCF of Fractions is 4/7861656.Finally, GCF of Fractions for 748/88, 356/97, 964/921 is 4/7861656.