Greatest Common Factor of 2190/951, 3725/7698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2190/951, 3725/7698

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 2190/951,3725/7698

Given fractions are 2190/951,3725/7698

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 2190,3725

Greatest Common Factor of Numerators i.e. GCF of 2190,3725 is 5 .

LCM of Denominators means LCM of 951,7698 as per the given fractions.

LCM of 951,7698 is 2440266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2190,3725

GCF of Fractions 2190/951,3725/7698 is 5/2440266

5 2190, 3725
438, 745

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2190,3725 By Matching Biggest Common Factor Method

Greatest Common Factor of 2190,3725 By Matching Biggest Common Factor Method

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1,5,25,149,745,3725

Greatest Common Factor

We found the factors 2190,3725 . The biggest common factor number is the GCF number.
So the greatest common factor 2190,3725 is 5.

Lets's calculate LCM of 951,7698

3 951, 7698
317, 2566

∴ So the LCM of the given numbers is 3 x 317 x 2566 = 2440266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2440266

Therefore, the GCF of Fractions 2190/951,3725/7698 is 5/2440266

Least Common Multiple of 951,7698 with GCF Formula

Least Common Multiple of 951,7698 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 951,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,7698) = 3

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

GCF(951,7698) x common factors =3 x 1 = 3

LCM(951,7698) = ( 951 × 7698 ) / 3

LCM(951,7698) = 7320798 / 3

LCM(951,7698) = 2440266


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 2190/951, 3725/7698

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 2190/951, 3725/7698?

Answer: GCF of Numerators as per given numbers 2190/951, 3725/7698 is

GCF of Numerators i.e. for 2190,3725 is 5

LCM of denominators i.e. for 951,7698 is 2440266.

Thus, GCF of Fractions is 5/2440266.Finally, GCF of Fractions for 2190/951, 3725/7698 is 5/2440266.