Greatest Common Factor of 537/615, 932/888, 802/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/615, 932/888, 802/812

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 537/615,932/888,802/812

Given fractions are 537/615,932/888,802/812

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 537,932,802

Greatest Common Factor of Numerators i.e. GCF of 537,932,802 is 1 .

LCM of Denominators means LCM of 615,888,812 as per the given fractions.

LCM of 615,888,812 is 36954120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,932,802

GCF of Fractions 537/615,932/888,802/812 is 1/36954120

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

Greatest Common Factor of 537,932,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,932,802 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 537,932,802 . The biggest common factor number is the GCF number.
So the greatest common factor 537,932,802 is 1.

Lets's calculate LCM of 615,888,812

2 615, 888, 812
2 615, 444, 406
3 615, 222, 203
205, 74, 203

∴ So the LCM of the given numbers is 2 x 2 x 3 x 205 x 74 x 203 = 36954120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36954120

Therefore, the GCF of Fractions 537/615,932/888,802/812 is 1/36954120

Least Common Multiple of 615,888,812 with GCF Formula

Least Common Multiple of 615,888,812 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 615,888,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,888,812) = 1

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

GCF(615,888,812) x common factors =1 x 12 = 12

LCM(615,888,812) = ( 615 × 888 × 812 ) / 12

LCM(615,888,812) = 443449440 / 12

LCM(615,888,812) = 36954120


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 537/615, 932/888, 802/812

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 537/615, 932/888, 802/812?

Answer: GCF of Numerators as per given numbers 537/615, 932/888, 802/812 is

GCF of Numerators i.e. for 537,932,802 is 1

LCM of denominators i.e. for 615,888,812 is 36954120.

Thus, GCF of Fractions is 1/36954120.Finally, GCF of Fractions for 537/615, 932/888, 802/812 is 1/36954120.