Greatest Common Factor of 1510/318, 4860/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1510/318, 4860/637

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 1510/318,4860/637

Given fractions are 1510/318,4860/637

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 1510,4860

Greatest Common Factor of Numerators i.e. GCF of 1510,4860 is 10 .

LCM of Denominators means LCM of 318,637 as per the given fractions.

LCM of 318,637 is 202566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1510,4860

GCF of Fractions 1510/318,4860/637 is 10/202566

2 1510, 4860
5 755, 2430
151, 486

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

Greatest Common Factor of 1510,4860 By Matching Biggest Common Factor Method

Greatest Common Factor of 1510,4860 By Matching Biggest Common Factor Method

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1,2,5,10,151,302,755,1510

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860

Greatest Common Factor

We found the factors 1510,4860 . The biggest common factor number is the GCF number.
So the greatest common factor 1510,4860 is 10.

Lets's calculate LCM of 318,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 202566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/202566

Therefore, the GCF of Fractions 1510/318,4860/637 is 10/202566

Least Common Multiple of 318,637 with GCF Formula

Least Common Multiple of 318,637 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 318,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,637) = 1

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

GCF(318,637) x common factors =1 x 1 = 1

LCM(318,637) = ( 318 × 637 ) / 1

LCM(318,637) = 202566 / 1

LCM(318,637) = 202566


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 1510/318, 4860/637

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 1510/318, 4860/637?

Answer: GCF of Numerators as per given numbers 1510/318, 4860/637 is

GCF of Numerators i.e. for 1510,4860 is 10

LCM of denominators i.e. for 318,637 is 202566.

Thus, GCF of Fractions is 10/202566.Finally, GCF of Fractions for 1510/318, 4860/637 is 10/202566.