Greatest Common Factor of 1134/87, 1442/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1134/87, 1442/957

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 1134/87,1442/957

Given fractions are 1134/87,1442/957

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 1134,1442

Greatest Common Factor of Numerators i.e. GCF of 1134,1442 is 14 .

LCM of Denominators means LCM of 87,957 as per the given fractions.

LCM of 87,957 is 957 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1134,1442

GCF of Fractions 1134/87,1442/957 is 14/957

2 1134, 1442
7 567, 721
81, 103

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 1134,1442 By Matching Biggest Common Factor Method

Greatest Common Factor of 1134,1442 By Matching Biggest Common Factor Method

Factors of 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134

Factors of 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1,2,7,14,103,206,721,1442

Greatest Common Factor

We found the factors 1134,1442 . The biggest common factor number is the GCF number.
So the greatest common factor 1134,1442 is 14.

Lets's calculate LCM of 87,957

3 87, 957
29 29, 319
1, 11

∴ So the LCM of the given numbers is 3 x 29 x 1 x 11 = 957

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/957

Therefore, the GCF of Fractions 1134/87,1442/957 is 14/957

Least Common Multiple of 87,957 with GCF Formula

Least Common Multiple of 87,957 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 87,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,957) = 87

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

GCF(87,957) x common factors =87 x 1 = 87

LCM(87,957) = ( 87 × 957 ) / 87

LCM(87,957) = 83259 / 87

LCM(87,957) = 957


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 1134/87, 1442/957

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 1134/87, 1442/957?

Answer: GCF of Numerators as per given numbers 1134/87, 1442/957 is

GCF of Numerators i.e. for 1134,1442 is 14

LCM of denominators i.e. for 87,957 is 957.

Thus, GCF of Fractions is 14/957.Finally, GCF of Fractions for 1134/87, 1442/957 is 14/957.