Greatest Common Factor of 9691/137, 9460/4974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9691/137, 9460/4974

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 9691/137,9460/4974

Given fractions are 9691/137,9460/4974

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 9691,9460

Greatest Common Factor of Numerators i.e. GCF of 9691,9460 is 11 .

LCM of Denominators means LCM of 137,4974 as per the given fractions.

LCM of 137,4974 is 681438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9691,9460

GCF of Fractions 9691/137,9460/4974 is 11/681438

11 9691, 9460
881, 860

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

Greatest Common Factor of 9691,9460 By Matching Biggest Common Factor Method

Greatest Common Factor of 9691,9460 By Matching Biggest Common Factor Method

Factors of 9691

List of positive integer factors of 9691 that divides 9691 without a remainder.

1,11,881,9691

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460

Greatest Common Factor

We found the factors 9691,9460 . The biggest common factor number is the GCF number.
So the greatest common factor 9691,9460 is 11.

Lets's calculate LCM of 137,4974

Given numbers has no common factors except 1. So, there LCM is their product i.e 681438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/681438

Therefore, the GCF of Fractions 9691/137,9460/4974 is 11/681438

Least Common Multiple of 137,4974 with GCF Formula

Least Common Multiple of 137,4974 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 137,4974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,4974) = 1

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

GCF(137,4974) x common factors =1 x 1 = 1

LCM(137,4974) = ( 137 × 4974 ) / 1

LCM(137,4974) = 681438 / 1

LCM(137,4974) = 681438


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 9691/137, 9460/4974

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 9691/137, 9460/4974?

Answer: GCF of Numerators as per given numbers 9691/137, 9460/4974 is

GCF of Numerators i.e. for 9691,9460 is 11

LCM of denominators i.e. for 137,4974 is 681438.

Thus, GCF of Fractions is 11/681438.Finally, GCF of Fractions for 9691/137, 9460/4974 is 11/681438.