Greatest Common Factor of 9138/777, 9618/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9138/777, 9618/847

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 9138/777,9618/847

Given fractions are 9138/777,9618/847

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 9138,9618

Greatest Common Factor of Numerators i.e. GCF of 9138,9618 is 6 .

LCM of Denominators means LCM of 777,847 as per the given fractions.

LCM of 777,847 is 94017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9138,9618

GCF of Fractions 9138/777,9618/847 is 6/94017

2 9138, 9618
3 4569, 4809
1523, 1603

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9138,9618 By Matching Biggest Common Factor Method

Greatest Common Factor of 9138,9618 By Matching Biggest Common Factor Method

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Factors of 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618

Greatest Common Factor

We found the factors 9138,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 9138,9618 is 6.

Lets's calculate LCM of 777,847

7 777, 847
111, 121

∴ So the LCM of the given numbers is 7 x 111 x 121 = 94017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/94017

Therefore, the GCF of Fractions 9138/777,9618/847 is 6/94017

Least Common Multiple of 777,847 with GCF Formula

Least Common Multiple of 777,847 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 777,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,847) = 7

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

GCF(777,847) x common factors =7 x 1 = 7

LCM(777,847) = ( 777 × 847 ) / 7

LCM(777,847) = 658119 / 7

LCM(777,847) = 94017


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 9138/777, 9618/847

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 9138/777, 9618/847?

Answer: GCF of Numerators as per given numbers 9138/777, 9618/847 is

GCF of Numerators i.e. for 9138,9618 is 6

LCM of denominators i.e. for 777,847 is 94017.

Thus, GCF of Fractions is 6/94017.Finally, GCF of Fractions for 9138/777, 9618/847 is 6/94017.