Greatest Common Factor of 88/149, 9757/6978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/149, 9757/6978

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 88/149,9757/6978

Given fractions are 88/149,9757/6978

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 88,9757

Greatest Common Factor of Numerators i.e. GCF of 88,9757 is 11 .

LCM of Denominators means LCM of 149,6978 as per the given fractions.

LCM of 149,6978 is 1039722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,9757

GCF of Fractions 88/149,9757/6978 is 11/1039722

11 88, 9757
8, 887

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 88,9757 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,9757 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1,11,887,9757

Greatest Common Factor

We found the factors 88,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 88,9757 is 11.

Lets's calculate LCM of 149,6978

Given numbers has no common factors except 1. So, there LCM is their product i.e 1039722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1039722

Therefore, the GCF of Fractions 88/149,9757/6978 is 11/1039722

Least Common Multiple of 149,6978 with GCF Formula

Least Common Multiple of 149,6978 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 149,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,6978) = 1

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

GCF(149,6978) x common factors =1 x 1 = 1

LCM(149,6978) = ( 149 × 6978 ) / 1

LCM(149,6978) = 1039722 / 1

LCM(149,6978) = 1039722


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 88/149, 9757/6978

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 88/149, 9757/6978?

Answer: GCF of Numerators as per given numbers 88/149, 9757/6978 is

GCF of Numerators i.e. for 88,9757 is 11

LCM of denominators i.e. for 149,6978 is 1039722.

Thus, GCF of Fractions is 11/1039722.Finally, GCF of Fractions for 88/149, 9757/6978 is 11/1039722.