Greatest Common Factor of 4272/66, 1129/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4272/66, 1129/860

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 4272/66,1129/860

Given fractions are 4272/66,1129/860

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 4272,1129

Greatest Common Factor of Numerators i.e. GCF of 4272,1129 is 1 .

LCM of Denominators means LCM of 66,860 as per the given fractions.

LCM of 66,860 is 28380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4272,1129

GCF of Fractions 4272/66,1129/860 is 1/28380

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4272,1129 By Matching Biggest Common Factor Method

Greatest Common Factor of 4272,1129 By Matching Biggest Common Factor Method

Factors of 4272

List of positive integer factors of 4272 that divides 4272 without a remainder.

1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1,1129

Greatest Common Factor

We found the factors 4272,1129 . The biggest common factor number is the GCF number.
So the greatest common factor 4272,1129 is 1.

Lets's calculate LCM of 66,860

2 66, 860
33, 430

∴ So the LCM of the given numbers is 2 x 33 x 430 = 28380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28380

Therefore, the GCF of Fractions 4272/66,1129/860 is 1/28380

Least Common Multiple of 66,860 with GCF Formula

Least Common Multiple of 66,860 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 66,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,860) = 2

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

GCF(66,860) x common factors =2 x 1 = 2

LCM(66,860) = ( 66 × 860 ) / 2

LCM(66,860) = 56760 / 2

LCM(66,860) = 28380


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 4272/66, 1129/860

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 4272/66, 1129/860?

Answer: GCF of Numerators as per given numbers 4272/66, 1129/860 is

GCF of Numerators i.e. for 4272,1129 is 1

LCM of denominators i.e. for 66,860 is 28380.

Thus, GCF of Fractions is 1/28380.Finally, GCF of Fractions for 4272/66, 1129/860 is 1/28380.