Greatest Common Factor of 812/189, 7668/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 812/189, 7668/847

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 812/189,7668/847

Given fractions are 812/189,7668/847

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 812,7668

Greatest Common Factor of Numerators i.e. GCF of 812,7668 is 4 .

LCM of Denominators means LCM of 189,847 as per the given fractions.

LCM of 189,847 is 22869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 812,7668

GCF of Fractions 812/189,7668/847 is 4/22869

2 812, 7668
2 406, 3834
203, 1917

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

Greatest Common Factor of 812,7668 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,7668 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors 812,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 812,7668 is 4.

Lets's calculate LCM of 189,847

7 189, 847
27, 121

∴ So the LCM of the given numbers is 7 x 27 x 121 = 22869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22869

Therefore, the GCF of Fractions 812/189,7668/847 is 4/22869

Least Common Multiple of 189,847 with GCF Formula

Least Common Multiple of 189,847 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 189,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,847) = 7

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

GCF(189,847) x common factors =7 x 1 = 7

LCM(189,847) = ( 189 × 847 ) / 7

LCM(189,847) = 160083 / 7

LCM(189,847) = 22869


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 812/189, 7668/847

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 812/189, 7668/847?

Answer: GCF of Numerators as per given numbers 812/189, 7668/847 is

GCF of Numerators i.e. for 812,7668 is 4

LCM of denominators i.e. for 189,847 is 22869.

Thus, GCF of Fractions is 4/22869.Finally, GCF of Fractions for 812/189, 7668/847 is 4/22869.