Greatest Common Factor of 9288/134, 3141/8543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9288/134, 3141/8543

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 9288/134,3141/8543

Given fractions are 9288/134,3141/8543

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 9288,3141

Greatest Common Factor of Numerators i.e. GCF of 9288,3141 is 9 .

LCM of Denominators means LCM of 134,8543 as per the given fractions.

LCM of 134,8543 is 1144762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9288,3141

GCF of Fractions 9288/134,3141/8543 is 9/1144762

3 9288, 3141
3 3096, 1047
1032, 349

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

Greatest Common Factor of 9288,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 9288,3141 By Matching Biggest Common Factor Method

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 9288,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 9288,3141 is 9.

Lets's calculate LCM of 134,8543

Given numbers has no common factors except 1. So, there LCM is their product i.e 1144762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1144762

Therefore, the GCF of Fractions 9288/134,3141/8543 is 9/1144762

Least Common Multiple of 134,8543 with GCF Formula

Least Common Multiple of 134,8543 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 134,8543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,8543) = 1

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

GCF(134,8543) x common factors =1 x 1 = 1

LCM(134,8543) = ( 134 × 8543 ) / 1

LCM(134,8543) = 1144762 / 1

LCM(134,8543) = 1144762


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 9288/134, 3141/8543

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 9288/134, 3141/8543?

Answer: GCF of Numerators as per given numbers 9288/134, 3141/8543 is

GCF of Numerators i.e. for 9288,3141 is 9

LCM of denominators i.e. for 134,8543 is 1144762.

Thus, GCF of Fractions is 9/1144762.Finally, GCF of Fractions for 9288/134, 3141/8543 is 9/1144762.