Greatest Common Factor of 5023/966, 5273/2484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5023/966, 5273/2484

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 5023/966,5273/2484

Given fractions are 5023/966,5273/2484

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 5023,5273

Greatest Common Factor of Numerators i.e. GCF of 5023,5273 is 1 .

LCM of Denominators means LCM of 966,2484 as per the given fractions.

LCM of 966,2484 is 17388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5023,5273

GCF of Fractions 5023/966,5273/2484 is 1/17388

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5023,5273 By Matching Biggest Common Factor Method

Greatest Common Factor of 5023,5273 By Matching Biggest Common Factor Method

Factors of 5023

List of positive integer factors of 5023 that divides 5023 without a remainder.

1,5023

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1,5273

Greatest Common Factor

We found the factors 5023,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 5023,5273 is 1.

Lets's calculate LCM of 966,2484

2 966, 2484
3 483, 1242
23 161, 414
7, 18

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 18 = 17388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17388

Therefore, the GCF of Fractions 5023/966,5273/2484 is 1/17388

Least Common Multiple of 966,2484 with GCF Formula

Least Common Multiple of 966,2484 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 966,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,2484) = 138

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

GCF(966,2484) x common factors =138 x 1 = 138

LCM(966,2484) = ( 966 × 2484 ) / 138

LCM(966,2484) = 2399544 / 138

LCM(966,2484) = 17388


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 5023/966, 5273/2484

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 5023/966, 5273/2484?

Answer: GCF of Numerators as per given numbers 5023/966, 5273/2484 is

GCF of Numerators i.e. for 5023,5273 is 1

LCM of denominators i.e. for 966,2484 is 17388.

Thus, GCF of Fractions is 1/17388.Finally, GCF of Fractions for 5023/966, 5273/2484 is 1/17388.