Greatest Common Factor of 2951/750, 5346/2880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2951/750, 5346/2880

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 2951/750,5346/2880

Given fractions are 2951/750,5346/2880

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 2951,5346

Greatest Common Factor of Numerators i.e. GCF of 2951,5346 is 1 .

LCM of Denominators means LCM of 750,2880 as per the given fractions.

LCM of 750,2880 is 72000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2951,5346

GCF of Fractions 2951/750,5346/2880 is 1/72000

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

Greatest Common Factor of 2951,5346 By Matching Biggest Common Factor Method

Greatest Common Factor of 2951,5346 By Matching Biggest Common Factor Method

Factors of 2951

List of positive integer factors of 2951 that divides 2951 without a remainder.

1,13,227,2951

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors 2951,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 2951,5346 is 1.

Lets's calculate LCM of 750,2880

2 750, 2880
3 375, 1440
5 125, 480
25, 96

∴ So the LCM of the given numbers is 2 x 3 x 5 x 25 x 96 = 72000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72000

Therefore, the GCF of Fractions 2951/750,5346/2880 is 1/72000

Least Common Multiple of 750,2880 with GCF Formula

Least Common Multiple of 750,2880 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 750,2880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,2880) = 30

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

GCF(750,2880) x common factors =30 x 1 = 30

LCM(750,2880) = ( 750 × 2880 ) / 30

LCM(750,2880) = 2160000 / 30

LCM(750,2880) = 72000


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 2951/750, 5346/2880

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 2951/750, 5346/2880?

Answer: GCF of Numerators as per given numbers 2951/750, 5346/2880 is

GCF of Numerators i.e. for 2951,5346 is 1

LCM of denominators i.e. for 750,2880 is 72000.

Thus, GCF of Fractions is 1/72000.Finally, GCF of Fractions for 2951/750, 5346/2880 is 1/72000.