Greatest Common Factor of 1490/25, 3770/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1490/25, 3770/431

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 1490/25,3770/431

Given fractions are 1490/25,3770/431

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 1490,3770

Greatest Common Factor of Numerators i.e. GCF of 1490,3770 is 10 .

LCM of Denominators means LCM of 25,431 as per the given fractions.

LCM of 25,431 is 10775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1490,3770

GCF of Fractions 1490/25,3770/431 is 10/10775

2 1490, 3770
5 745, 1885
149, 377

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1490,3770 By Matching Biggest Common Factor Method

Greatest Common Factor of 1490,3770 By Matching Biggest Common Factor Method

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

Greatest Common Factor

We found the factors 1490,3770 . The biggest common factor number is the GCF number.
So the greatest common factor 1490,3770 is 10.

Lets's calculate LCM of 25,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 10775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10775

Therefore, the GCF of Fractions 1490/25,3770/431 is 10/10775

Least Common Multiple of 25,431 with GCF Formula

Least Common Multiple of 25,431 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 25,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,431) = 1

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

GCF(25,431) x common factors =1 x 1 = 1

LCM(25,431) = ( 25 × 431 ) / 1

LCM(25,431) = 10775 / 1

LCM(25,431) = 10775


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 1490/25, 3770/431

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 1490/25, 3770/431?

Answer: GCF of Numerators as per given numbers 1490/25, 3770/431 is

GCF of Numerators i.e. for 1490,3770 is 10

LCM of denominators i.e. for 25,431 is 10775.

Thus, GCF of Fractions is 10/10775.Finally, GCF of Fractions for 1490/25, 3770/431 is 10/10775.