Greatest Common Factor of 735/99, 684/20, 156/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 735/99, 684/20, 156/867

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 735/99,684/20,156/867

Given fractions are 735/99,684/20,156/867

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 735,684,156

Greatest Common Factor of Numerators i.e. GCF of 735,684,156 is 3 .

LCM of Denominators means LCM of 99,20,867 as per the given fractions.

LCM of 99,20,867 is 572220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 735,684,156

GCF of Fractions 735/99,684/20,156/867 is 3/572220

3 735, 684, 156
245, 228, 52

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 735,684,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,684,156 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 735,684,156 . The biggest common factor number is the GCF number.
So the greatest common factor 735,684,156 is 3.

Lets's calculate LCM of 99,20,867

3 99, 20, 867
33, 20, 289

∴ So the LCM of the given numbers is 3 x 33 x 20 x 289 = 572220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/572220

Therefore, the GCF of Fractions 735/99,684/20,156/867 is 3/572220

Least Common Multiple of 99,20,867 with GCF Formula

Least Common Multiple of 99,20,867 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 99,20,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,20,867) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,20,867) x common factors =1 x 3 = 3

LCM(99,20,867) = ( 99 × 20 × 867 ) / 3

LCM(99,20,867) = 1716660 / 3

LCM(99,20,867) = 572220


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 735/99, 684/20, 156/867

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 735/99, 684/20, 156/867?

Answer: GCF of Numerators as per given numbers 735/99, 684/20, 156/867 is

GCF of Numerators i.e. for 735,684,156 is 3

LCM of denominators i.e. for 99,20,867 is 572220.

Thus, GCF of Fractions is 3/572220.Finally, GCF of Fractions for 735/99, 684/20, 156/867 is 3/572220.