Greatest Common Factor of 2515/708, 2500/3968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2515/708, 2500/3968

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 2515/708,2500/3968

Given fractions are 2515/708,2500/3968

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 2515,2500

Greatest Common Factor of Numerators i.e. GCF of 2515,2500 is 5 .

LCM of Denominators means LCM of 708,3968 as per the given fractions.

LCM of 708,3968 is 702336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2515,2500

GCF of Fractions 2515/708,2500/3968 is 5/702336

5 2515, 2500
503, 500

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2515,2500 By Matching Biggest Common Factor Method

Greatest Common Factor of 2515,2500 By Matching Biggest Common Factor Method

Factors of 2515

List of positive integer factors of 2515 that divides 2515 without a remainder.

1,5,503,2515

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Greatest Common Factor

We found the factors 2515,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 2515,2500 is 5.

Lets's calculate LCM of 708,3968

2 708, 3968
2 354, 1984
177, 992

∴ So the LCM of the given numbers is 2 x 2 x 177 x 992 = 702336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/702336

Therefore, the GCF of Fractions 2515/708,2500/3968 is 5/702336

Least Common Multiple of 708,3968 with GCF Formula

Least Common Multiple of 708,3968 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 708,3968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,3968) = 4

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

GCF(708,3968) x common factors =4 x 1 = 4

LCM(708,3968) = ( 708 × 3968 ) / 4

LCM(708,3968) = 2809344 / 4

LCM(708,3968) = 702336


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 2515/708, 2500/3968

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 2515/708, 2500/3968?

Answer: GCF of Numerators as per given numbers 2515/708, 2500/3968 is

GCF of Numerators i.e. for 2515,2500 is 5

LCM of denominators i.e. for 708,3968 is 702336.

Thus, GCF of Fractions is 5/702336.Finally, GCF of Fractions for 2515/708, 2500/3968 is 5/702336.