Greatest Common Factor of 780/87, 596/35, 751/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/87, 596/35, 751/65

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 780/87,596/35,751/65

Given fractions are 780/87,596/35,751/65

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 780,596,751

Greatest Common Factor of Numerators i.e. GCF of 780,596,751 is 1 .

LCM of Denominators means LCM of 87,35,65 as per the given fractions.

LCM of 87,35,65 is 39585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,596,751

GCF of Fractions 780/87,596/35,751/65 is 1/39585

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

Greatest Common Factor of 780,596,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,596,751 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 780,596,751 . The biggest common factor number is the GCF number.
So the greatest common factor 780,596,751 is 1.

Lets's calculate LCM of 87,35,65

5 87, 35, 65
87, 7, 13

∴ So the LCM of the given numbers is 5 x 87 x 7 x 13 = 39585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39585

Therefore, the GCF of Fractions 780/87,596/35,751/65 is 1/39585

Least Common Multiple of 87,35,65 with GCF Formula

Least Common Multiple of 87,35,65 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 87,35,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,35,65) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(87,35,65) x common factors =1 x 5 = 5

LCM(87,35,65) = ( 87 × 35 × 65 ) / 5

LCM(87,35,65) = 197925 / 5

LCM(87,35,65) = 39585


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 780/87, 596/35, 751/65

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 780/87, 596/35, 751/65?

Answer: GCF of Numerators as per given numbers 780/87, 596/35, 751/65 is

GCF of Numerators i.e. for 780,596,751 is 1

LCM of denominators i.e. for 87,35,65 is 39585.

Thus, GCF of Fractions is 1/39585.Finally, GCF of Fractions for 780/87, 596/35, 751/65 is 1/39585.