Greatest Common Factor of 72/87, 12/877, 612/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/87, 12/877, 612/955

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 72/87,12/877,612/955

Given fractions are 72/87,12/877,612/955

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 72,12,612

Greatest Common Factor of Numerators i.e. GCF of 72,12,612 is 12 .

LCM of Denominators means LCM of 87,877,955 as per the given fractions.

LCM of 87,877,955 is 72865545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,12,612

GCF of Fractions 72/87,12/877,612/955 is 12/72865545

2 72, 12, 612
2 36, 6, 306
3 18, 3, 153
6, 1, 51

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 72,12,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,12,612 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 72,12,612 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,612 is 12.

Lets's calculate LCM of 87,877,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 72865545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/72865545

Therefore, the GCF of Fractions 72/87,12/877,612/955 is 12/72865545

Least Common Multiple of 87,877,955 with GCF Formula

Least Common Multiple of 87,877,955 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 87,877,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,877,955) = 1

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

GCF(87,877,955) x common factors =1 x 1 = 1

LCM(87,877,955) = ( 87 × 877 × 955 ) / 1

LCM(87,877,955) = 72865545 / 1

LCM(87,877,955) = 72865545


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 72/87, 12/877, 612/955

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 72/87, 12/877, 612/955?

Answer: GCF of Numerators as per given numbers 72/87, 12/877, 612/955 is

GCF of Numerators i.e. for 72,12,612 is 12

LCM of denominators i.e. for 87,877,955 is 72865545.

Thus, GCF of Fractions is 12/72865545.Finally, GCF of Fractions for 72/87, 12/877, 612/955 is 12/72865545.