Greatest Common Factor of 2256/508, 6020/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2256/508, 6020/709

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 2256/508,6020/709

Given fractions are 2256/508,6020/709

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 2256,6020

Greatest Common Factor of Numerators i.e. GCF of 2256,6020 is 4 .

LCM of Denominators means LCM of 508,709 as per the given fractions.

LCM of 508,709 is 360172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2256,6020

GCF of Fractions 2256/508,6020/709 is 4/360172

2 2256, 6020
2 1128, 3010
564, 1505

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

Greatest Common Factor of 2256,6020 By Matching Biggest Common Factor Method

Greatest Common Factor of 2256,6020 By Matching Biggest Common Factor Method

Factors of 2256

List of positive integer factors of 2256 that divides 2256 without a remainder.

1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Greatest Common Factor

We found the factors 2256,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 2256,6020 is 4.

Lets's calculate LCM of 508,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 360172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/360172

Therefore, the GCF of Fractions 2256/508,6020/709 is 4/360172

Least Common Multiple of 508,709 with GCF Formula

Least Common Multiple of 508,709 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 508,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,709) = 1

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

GCF(508,709) x common factors =1 x 1 = 1

LCM(508,709) = ( 508 × 709 ) / 1

LCM(508,709) = 360172 / 1

LCM(508,709) = 360172


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 2256/508, 6020/709

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 2256/508, 6020/709?

Answer: GCF of Numerators as per given numbers 2256/508, 6020/709 is

GCF of Numerators i.e. for 2256,6020 is 4

LCM of denominators i.e. for 508,709 is 360172.

Thus, GCF of Fractions is 4/360172.Finally, GCF of Fractions for 2256/508, 6020/709 is 4/360172.