Greatest Common Factor of 2532/429, 2108/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2532/429, 2108/377

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 2532/429,2108/377

Given fractions are 2532/429,2108/377

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 2532,2108

Greatest Common Factor of Numerators i.e. GCF of 2532,2108 is 4 .

LCM of Denominators means LCM of 429,377 as per the given fractions.

LCM of 429,377 is 12441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2532,2108

GCF of Fractions 2532/429,2108/377 is 4/12441

2 2532, 2108
2 1266, 1054
633, 527

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2532,2108 By Matching Biggest Common Factor Method

Greatest Common Factor of 2532,2108 By Matching Biggest Common Factor Method

Factors of 2532

List of positive integer factors of 2532 that divides 2532 without a remainder.

1,2,3,4,6,12,211,422,633,844,1266,2532

Factors of 2108

List of positive integer factors of 2108 that divides 2108 without a remainder.

1,2,4,17,31,34,62,68,124,527,1054,2108

Greatest Common Factor

We found the factors 2532,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 2532,2108 is 4.

Lets's calculate LCM of 429,377

13 429, 377
33, 29

∴ So the LCM of the given numbers is 13 x 33 x 29 = 12441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12441

Therefore, the GCF of Fractions 2532/429,2108/377 is 4/12441

Least Common Multiple of 429,377 with GCF Formula

Least Common Multiple of 429,377 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 429,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,377) = 13

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

GCF(429,377) x common factors =13 x 1 = 13

LCM(429,377) = ( 429 × 377 ) / 13

LCM(429,377) = 161733 / 13

LCM(429,377) = 12441


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 2532/429, 2108/377

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 2532/429, 2108/377?

Answer: GCF of Numerators as per given numbers 2532/429, 2108/377 is

GCF of Numerators i.e. for 2532,2108 is 4

LCM of denominators i.e. for 429,377 is 12441.

Thus, GCF of Fractions is 4/12441.Finally, GCF of Fractions for 2532/429, 2108/377 is 4/12441.