Greatest Common Factor of 80/390, 63/252, 524/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/390, 63/252, 524/732

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 80/390,63/252,524/732

Given fractions are 80/390,63/252,524/732

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 80,63,524

Greatest Common Factor of Numerators i.e. GCF of 80,63,524 is 1 .

LCM of Denominators means LCM of 390,252,732 as per the given fractions.

LCM of 390,252,732 is 999180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,63,524

GCF of Fractions 80/390,63/252,524/732 is 1/999180

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

Greatest Common Factor of 80,63,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,63,524 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 80,63,524 . The biggest common factor number is the GCF number.
So the greatest common factor 80,63,524 is 1.

Lets's calculate LCM of 390,252,732

2 390, 252, 732
2 195, 126, 366
3 195, 63, 183
65, 21, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 65 x 21 x 61 = 999180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999180

Therefore, the GCF of Fractions 80/390,63/252,524/732 is 1/999180

Least Common Multiple of 390,252,732 with GCF Formula

Least Common Multiple of 390,252,732 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 390,252,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,252,732) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(390,252,732) x common factors =6 x 12 = 72

LCM(390,252,732) = ( 390 × 252 × 732 ) / 72

LCM(390,252,732) = 71940960 / 72

LCM(390,252,732) = 999180


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 80/390, 63/252, 524/732

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 80/390, 63/252, 524/732?

Answer: GCF of Numerators as per given numbers 80/390, 63/252, 524/732 is

GCF of Numerators i.e. for 80,63,524 is 1

LCM of denominators i.e. for 390,252,732 is 999180.

Thus, GCF of Fractions is 1/999180.Finally, GCF of Fractions for 80/390, 63/252, 524/732 is 1/999180.