Greatest Common Factor of 87/732, 77/385, 368/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/732, 77/385, 368/780

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 87/732,77/385,368/780

Given fractions are 87/732,77/385,368/780

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 87,77,368

Greatest Common Factor of Numerators i.e. GCF of 87,77,368 is 1 .

LCM of Denominators means LCM of 732,385,780 as per the given fractions.

LCM of 732,385,780 is 3663660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,77,368

GCF of Fractions 87/732,77/385,368/780 is 1/3663660

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

Greatest Common Factor of 87,77,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,77,368 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 87,77,368 . The biggest common factor number is the GCF number.
So the greatest common factor 87,77,368 is 1.

Lets's calculate LCM of 732,385,780

2 732, 385, 780
2 366, 385, 390
3 183, 385, 195
5 61, 385, 65
61, 77, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 61 x 77 x 13 = 3663660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3663660

Therefore, the GCF of Fractions 87/732,77/385,368/780 is 1/3663660

Least Common Multiple of 732,385,780 with GCF Formula

Least Common Multiple of 732,385,780 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 732,385,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,385,780) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(732,385,780) x common factors =1 x 60 = 60

LCM(732,385,780) = ( 732 × 385 × 780 ) / 60

LCM(732,385,780) = 219819600 / 60

LCM(732,385,780) = 3663660


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 87/732, 77/385, 368/780

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 87/732, 77/385, 368/780?

Answer: GCF of Numerators as per given numbers 87/732, 77/385, 368/780 is

GCF of Numerators i.e. for 87,77,368 is 1

LCM of denominators i.e. for 732,385,780 is 3663660.

Thus, GCF of Fractions is 1/3663660.Finally, GCF of Fractions for 87/732, 77/385, 368/780 is 1/3663660.