Greatest Common Factor of 2488/23, 6514/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2488/23, 6514/364

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 2488/23,6514/364

Given fractions are 2488/23,6514/364

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 2488,6514

Greatest Common Factor of Numerators i.e. GCF of 2488,6514 is 2 .

LCM of Denominators means LCM of 23,364 as per the given fractions.

LCM of 23,364 is 8372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2488,6514

GCF of Fractions 2488/23,6514/364 is 2/8372

2 2488, 6514
1244, 3257

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

Greatest Common Factor of 2488,6514 By Matching Biggest Common Factor Method

Greatest Common Factor of 2488,6514 By Matching Biggest Common Factor Method

Factors of 2488

List of positive integer factors of 2488 that divides 2488 without a remainder.

1,2,4,8,311,622,1244,2488

Factors of 6514

List of positive integer factors of 6514 that divides 6514 without a remainder.

1,2,3257,6514

Greatest Common Factor

We found the factors 2488,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 2488,6514 is 2.

Lets's calculate LCM of 23,364

Given numbers has no common factors except 1. So, there LCM is their product i.e 8372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8372

Therefore, the GCF of Fractions 2488/23,6514/364 is 2/8372

Least Common Multiple of 23,364 with GCF Formula

Least Common Multiple of 23,364 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 23,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,364) = 1

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

GCF(23,364) x common factors =1 x 1 = 1

LCM(23,364) = ( 23 × 364 ) / 1

LCM(23,364) = 8372 / 1

LCM(23,364) = 8372


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 2488/23, 6514/364

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 2488/23, 6514/364?

Answer: GCF of Numerators as per given numbers 2488/23, 6514/364 is

GCF of Numerators i.e. for 2488,6514 is 2

LCM of denominators i.e. for 23,364 is 8372.

Thus, GCF of Fractions is 2/8372.Finally, GCF of Fractions for 2488/23, 6514/364 is 2/8372.