Greatest Common Factor of 951/444, 602/716, 142/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 951/444, 602/716, 142/507

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 951/444,602/716,142/507

Given fractions are 951/444,602/716,142/507

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 951,602,142

Greatest Common Factor of Numerators i.e. GCF of 951,602,142 is 1 .

LCM of Denominators means LCM of 444,716,507 as per the given fractions.

LCM of 444,716,507 is 13431444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 951,602,142

GCF of Fractions 951/444,602/716,142/507 is 1/13431444

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

Greatest Common Factor of 951,602,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,602,142 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 951,602,142 . The biggest common factor number is the GCF number.
So the greatest common factor 951,602,142 is 1.

Lets's calculate LCM of 444,716,507

2 444, 716, 507
2 222, 358, 507
3 111, 179, 507
37, 179, 169

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 179 x 169 = 13431444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13431444

Therefore, the GCF of Fractions 951/444,602/716,142/507 is 1/13431444

Least Common Multiple of 444,716,507 with GCF Formula

Least Common Multiple of 444,716,507 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 444,716,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,716,507) = 1

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

GCF(444,716,507) x common factors =1 x 12 = 12

LCM(444,716,507) = ( 444 × 716 × 507 ) / 12

LCM(444,716,507) = 161177328 / 12

LCM(444,716,507) = 13431444


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 951/444, 602/716, 142/507

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 951/444, 602/716, 142/507?

Answer: GCF of Numerators as per given numbers 951/444, 602/716, 142/507 is

GCF of Numerators i.e. for 951,602,142 is 1

LCM of denominators i.e. for 444,716,507 is 13431444.

Thus, GCF of Fractions is 1/13431444.Finally, GCF of Fractions for 951/444, 602/716, 142/507 is 1/13431444.