Greatest Common Factor of 1322/520, 5209/4714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1322/520, 5209/4714

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 1322/520,5209/4714

Given fractions are 1322/520,5209/4714

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 1322,5209

Greatest Common Factor of Numerators i.e. GCF of 1322,5209 is 1 .

LCM of Denominators means LCM of 520,4714 as per the given fractions.

LCM of 520,4714 is 1225640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1322,5209

GCF of Fractions 1322/520,5209/4714 is 1/1225640

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

Greatest Common Factor of 1322,5209 By Matching Biggest Common Factor Method

Greatest Common Factor of 1322,5209 By Matching Biggest Common Factor Method

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1,2,661,1322

Factors of 5209

List of positive integer factors of 5209 that divides 5209 without a remainder.

1,5209

Greatest Common Factor

We found the factors 1322,5209 . The biggest common factor number is the GCF number.
So the greatest common factor 1322,5209 is 1.

Lets's calculate LCM of 520,4714

2 520, 4714
260, 2357

∴ So the LCM of the given numbers is 2 x 260 x 2357 = 1225640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225640

Therefore, the GCF of Fractions 1322/520,5209/4714 is 1/1225640

Least Common Multiple of 520,4714 with GCF Formula

Least Common Multiple of 520,4714 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 520,4714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,4714) = 2

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

GCF(520,4714) x common factors =2 x 1 = 2

LCM(520,4714) = ( 520 × 4714 ) / 2

LCM(520,4714) = 2451280 / 2

LCM(520,4714) = 1225640


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 1322/520, 5209/4714

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 1322/520, 5209/4714?

Answer: GCF of Numerators as per given numbers 1322/520, 5209/4714 is

GCF of Numerators i.e. for 1322,5209 is 1

LCM of denominators i.e. for 520,4714 is 1225640.

Thus, GCF of Fractions is 1/1225640.Finally, GCF of Fractions for 1322/520, 5209/4714 is 1/1225640.