Greatest Common Factor of 375/12, 771/52, 519/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/12, 771/52, 519/951

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 375/12,771/52,519/951

Given fractions are 375/12,771/52,519/951

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 375,771,519

Greatest Common Factor of Numerators i.e. GCF of 375,771,519 is 3 .

LCM of Denominators means LCM of 12,52,951 as per the given fractions.

LCM of 12,52,951 is 49452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,771,519

GCF of Fractions 375/12,771/52,519/951 is 3/49452

3 375, 771, 519
125, 257, 173

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 375,771,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,771,519 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 375,771,519 . The biggest common factor number is the GCF number.
So the greatest common factor 375,771,519 is 3.

Lets's calculate LCM of 12,52,951

2 12, 52, 951
2 6, 26, 951
3 3, 13, 951
1, 13, 317

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 13 x 317 = 49452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49452

Therefore, the GCF of Fractions 375/12,771/52,519/951 is 3/49452

Least Common Multiple of 12,52,951 with GCF Formula

Least Common Multiple of 12,52,951 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 12,52,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,52,951) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,52,951) x common factors =1 x 12 = 12

LCM(12,52,951) = ( 12 × 52 × 951 ) / 12

LCM(12,52,951) = 593424 / 12

LCM(12,52,951) = 49452


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 375/12, 771/52, 519/951

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 375/12, 771/52, 519/951?

Answer: GCF of Numerators as per given numbers 375/12, 771/52, 519/951 is

GCF of Numerators i.e. for 375,771,519 is 3

LCM of denominators i.e. for 12,52,951 is 49452.

Thus, GCF of Fractions is 3/49452.Finally, GCF of Fractions for 375/12, 771/52, 519/951 is 3/49452.