Greatest Common Factor of 1134/71, 4431/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1134/71, 4431/281

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 1134/71,4431/281

Given fractions are 1134/71,4431/281

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 1134,4431

Greatest Common Factor of Numerators i.e. GCF of 1134,4431 is 21 .

LCM of Denominators means LCM of 71,281 as per the given fractions.

LCM of 71,281 is 19951 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1134,4431

GCF of Fractions 1134/71,4431/281 is 21/19951

3 1134, 4431
7 378, 1477
54, 211

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 1134,4431 By Matching Biggest Common Factor Method

Greatest Common Factor of 1134,4431 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 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1,3,7,21,211,633,1477,4431

Greatest Common Factor

We found the factors 1134,4431 . The biggest common factor number is the GCF number.
So the greatest common factor 1134,4431 is 21.

Lets's calculate LCM of 71,281

Given numbers has no common factors except 1. So, there LCM is their product i.e 19951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/19951

Therefore, the GCF of Fractions 1134/71,4431/281 is 21/19951

Least Common Multiple of 71,281 with GCF Formula

Least Common Multiple of 71,281 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 71,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,281) = 1

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

GCF(71,281) x common factors =1 x 1 = 1

LCM(71,281) = ( 71 × 281 ) / 1

LCM(71,281) = 19951 / 1

LCM(71,281) = 19951


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 1134/71, 4431/281

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 1134/71, 4431/281?

Answer: GCF of Numerators as per given numbers 1134/71, 4431/281 is

GCF of Numerators i.e. for 1134,4431 is 21

LCM of denominators i.e. for 71,281 is 19951.

Thus, GCF of Fractions is 21/19951.Finally, GCF of Fractions for 1134/71, 4431/281 is 21/19951.