Greatest Common Factor of 2370/508, 6477/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2370/508, 6477/245

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 2370/508,6477/245

Given fractions are 2370/508,6477/245

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 2370,6477

Greatest Common Factor of Numerators i.e. GCF of 2370,6477 is 3 .

LCM of Denominators means LCM of 508,245 as per the given fractions.

LCM of 508,245 is 124460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2370,6477

GCF of Fractions 2370/508,6477/245 is 3/124460

3 2370, 6477
790, 2159

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2370,6477 By Matching Biggest Common Factor Method

Greatest Common Factor of 2370,6477 By Matching Biggest Common Factor Method

Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370

Factors of 6477

List of positive integer factors of 6477 that divides 6477 without a remainder.

1,3,17,51,127,381,2159,6477

Greatest Common Factor

We found the factors 2370,6477 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,6477 is 3.

Lets's calculate LCM of 508,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 124460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/124460

Therefore, the GCF of Fractions 2370/508,6477/245 is 3/124460

Least Common Multiple of 508,245 with GCF Formula

Least Common Multiple of 508,245 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 508,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,245) = 1

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

GCF(508,245) x common factors =1 x 1 = 1

LCM(508,245) = ( 508 × 245 ) / 1

LCM(508,245) = 124460 / 1

LCM(508,245) = 124460


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 2370/508, 6477/245

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 2370/508, 6477/245?

Answer: GCF of Numerators as per given numbers 2370/508, 6477/245 is

GCF of Numerators i.e. for 2370,6477 is 3

LCM of denominators i.e. for 508,245 is 124460.

Thus, GCF of Fractions is 3/124460.Finally, GCF of Fractions for 2370/508, 6477/245 is 3/124460.