Greatest Common Factor of 763/15, 322/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/15, 322/520

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 763/15,322/520

Given fractions are 763/15,322/520

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 763,322

Greatest Common Factor of Numerators i.e. GCF of 763,322 is 7 .

LCM of Denominators means LCM of 15,520 as per the given fractions.

LCM of 15,520 is 1560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,322

GCF of Fractions 763/15,322/520 is 7/1560

7 763, 322
109, 46

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 763,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,322 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 763,322 . The biggest common factor number is the GCF number.
So the greatest common factor 763,322 is 7.

Lets's calculate LCM of 15,520

5 15, 520
3, 104

∴ So the LCM of the given numbers is 5 x 3 x 104 = 1560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1560

Therefore, the GCF of Fractions 763/15,322/520 is 7/1560

Least Common Multiple of 15,520 with GCF Formula

Least Common Multiple of 15,520 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 15,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,520) = 5

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

GCF(15,520) x common factors =5 x 1 = 5

LCM(15,520) = ( 15 × 520 ) / 5

LCM(15,520) = 7800 / 5

LCM(15,520) = 1560


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 763/15, 322/520

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 763/15, 322/520?

Answer: GCF of Numerators as per given numbers 763/15, 322/520 is

GCF of Numerators i.e. for 763,322 is 7

LCM of denominators i.e. for 15,520 is 1560.

Thus, GCF of Fractions is 7/1560.Finally, GCF of Fractions for 763/15, 322/520 is 7/1560.