Greatest Common Factor of 4157/87, 6729/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4157/87, 6729/129

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 4157/87,6729/129

Given fractions are 4157/87,6729/129

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 4157,6729

Greatest Common Factor of Numerators i.e. GCF of 4157,6729 is 1 .

LCM of Denominators means LCM of 87,129 as per the given fractions.

LCM of 87,129 is 3741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4157,6729

GCF of Fractions 4157/87,6729/129 is 1/3741

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

Greatest Common Factor of 4157,6729 By Matching Biggest Common Factor Method

Greatest Common Factor of 4157,6729 By Matching Biggest Common Factor Method

Factors of 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1,4157

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1,3,2243,6729

Greatest Common Factor

We found the factors 4157,6729 . The biggest common factor number is the GCF number.
So the greatest common factor 4157,6729 is 1.

Lets's calculate LCM of 87,129

3 87, 129
29, 43

∴ So the LCM of the given numbers is 3 x 29 x 43 = 3741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3741

Therefore, the GCF of Fractions 4157/87,6729/129 is 1/3741

Least Common Multiple of 87,129 with GCF Formula

Least Common Multiple of 87,129 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 87,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,129) = 3

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

GCF(87,129) x common factors =3 x 1 = 3

LCM(87,129) = ( 87 × 129 ) / 3

LCM(87,129) = 11223 / 3

LCM(87,129) = 3741


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 4157/87, 6729/129

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 4157/87, 6729/129?

Answer: GCF of Numerators as per given numbers 4157/87, 6729/129 is

GCF of Numerators i.e. for 4157,6729 is 1

LCM of denominators i.e. for 87,129 is 3741.

Thus, GCF of Fractions is 1/3741.Finally, GCF of Fractions for 4157/87, 6729/129 is 1/3741.