Greatest Common Factor of 1508/103, 2780/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1508/103, 2780/259

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 1508/103,2780/259

Given fractions are 1508/103,2780/259

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 1508,2780

Greatest Common Factor of Numerators i.e. GCF of 1508,2780 is 4 .

LCM of Denominators means LCM of 103,259 as per the given fractions.

LCM of 103,259 is 26677 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1508,2780

GCF of Fractions 1508/103,2780/259 is 4/26677

2 1508, 2780
2 754, 1390
377, 695

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1508,2780 By Matching Biggest Common Factor Method

Greatest Common Factor of 1508,2780 By Matching Biggest Common Factor Method

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Factors of 2780

List of positive integer factors of 2780 that divides 2780 without a remainder.

1,2,4,5,10,20,139,278,556,695,1390,2780

Greatest Common Factor

We found the factors 1508,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 1508,2780 is 4.

Lets's calculate LCM of 103,259

Given numbers has no common factors except 1. So, there LCM is their product i.e 26677

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26677

Therefore, the GCF of Fractions 1508/103,2780/259 is 4/26677

Least Common Multiple of 103,259 with GCF Formula

Least Common Multiple of 103,259 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 103,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,259) = 1

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

GCF(103,259) x common factors =1 x 1 = 1

LCM(103,259) = ( 103 × 259 ) / 1

LCM(103,259) = 26677 / 1

LCM(103,259) = 26677


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 1508/103, 2780/259

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 1508/103, 2780/259?

Answer: GCF of Numerators as per given numbers 1508/103, 2780/259 is

GCF of Numerators i.e. for 1508,2780 is 4

LCM of denominators i.e. for 103,259 is 26677.

Thus, GCF of Fractions is 4/26677.Finally, GCF of Fractions for 1508/103, 2780/259 is 4/26677.