Greatest Common Factor of 8793/134, 4644/7475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8793/134, 4644/7475

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 8793/134,4644/7475

Given fractions are 8793/134,4644/7475

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 8793,4644

Greatest Common Factor of Numerators i.e. GCF of 8793,4644 is 9 .

LCM of Denominators means LCM of 134,7475 as per the given fractions.

LCM of 134,7475 is 1001650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8793,4644

GCF of Fractions 8793/134,4644/7475 is 9/1001650

3 8793, 4644
3 2931, 1548
977, 516

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8793,4644 By Matching Biggest Common Factor Method

Greatest Common Factor of 8793,4644 By Matching Biggest Common Factor Method

Factors of 8793

List of positive integer factors of 8793 that divides 8793 without a remainder.

1,3,9,977,2931,8793

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Greatest Common Factor

We found the factors 8793,4644 . The biggest common factor number is the GCF number.
So the greatest common factor 8793,4644 is 9.

Lets's calculate LCM of 134,7475

Given numbers has no common factors except 1. So, there LCM is their product i.e 1001650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1001650

Therefore, the GCF of Fractions 8793/134,4644/7475 is 9/1001650

Least Common Multiple of 134,7475 with GCF Formula

Least Common Multiple of 134,7475 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 134,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,7475) = 1

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

GCF(134,7475) x common factors =1 x 1 = 1

LCM(134,7475) = ( 134 × 7475 ) / 1

LCM(134,7475) = 1001650 / 1

LCM(134,7475) = 1001650


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 8793/134, 4644/7475

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 8793/134, 4644/7475?

Answer: GCF of Numerators as per given numbers 8793/134, 4644/7475 is

GCF of Numerators i.e. for 8793,4644 is 9

LCM of denominators i.e. for 134,7475 is 1001650.

Thus, GCF of Fractions is 9/1001650.Finally, GCF of Fractions for 8793/134, 4644/7475 is 9/1001650.