Greatest Common Factor of 2514/690, 2624/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2514/690, 2624/637

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 2514/690,2624/637

Given fractions are 2514/690,2624/637

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 2514,2624

Greatest Common Factor of Numerators i.e. GCF of 2514,2624 is 2 .

LCM of Denominators means LCM of 690,637 as per the given fractions.

LCM of 690,637 is 439530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2514,2624

GCF of Fractions 2514/690,2624/637 is 2/439530

2 2514, 2624
1257, 1312

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

Greatest Common Factor of 2514,2624 By Matching Biggest Common Factor Method

Greatest Common Factor of 2514,2624 By Matching Biggest Common Factor Method

Factors of 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1,2,3,6,419,838,1257,2514

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1,2,4,8,16,32,41,64,82,164,328,656,1312,2624

Greatest Common Factor

We found the factors 2514,2624 . The biggest common factor number is the GCF number.
So the greatest common factor 2514,2624 is 2.

Lets's calculate LCM of 690,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 439530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/439530

Therefore, the GCF of Fractions 2514/690,2624/637 is 2/439530

Least Common Multiple of 690,637 with GCF Formula

Least Common Multiple of 690,637 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 690,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,637) = 1

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

GCF(690,637) x common factors =1 x 1 = 1

LCM(690,637) = ( 690 × 637 ) / 1

LCM(690,637) = 439530 / 1

LCM(690,637) = 439530


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 2514/690, 2624/637

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 2514/690, 2624/637?

Answer: GCF of Numerators as per given numbers 2514/690, 2624/637 is

GCF of Numerators i.e. for 2514,2624 is 2

LCM of denominators i.e. for 690,637 is 439530.

Thus, GCF of Fractions is 2/439530.Finally, GCF of Fractions for 2514/690, 2624/637 is 2/439530.