Greatest Common Factor of 767/570, 2587/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/570, 2587/408

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 767/570,2587/408

Given fractions are 767/570,2587/408

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 767,2587

Greatest Common Factor of Numerators i.e. GCF of 767,2587 is 13 .

LCM of Denominators means LCM of 570,408 as per the given fractions.

LCM of 570,408 is 38760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,2587

GCF of Fractions 767/570,2587/408 is 13/38760

13 767, 2587
59, 199

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 767,2587 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,2587 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 2587

List of positive integer factors of 2587 that divides 2587 without a remainder.

1,13,199,2587

Greatest Common Factor

We found the factors 767,2587 . The biggest common factor number is the GCF number.
So the greatest common factor 767,2587 is 13.

Lets's calculate LCM of 570,408

2 570, 408
3 285, 204
95, 68

∴ So the LCM of the given numbers is 2 x 3 x 95 x 68 = 38760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/38760

Therefore, the GCF of Fractions 767/570,2587/408 is 13/38760

Least Common Multiple of 570,408 with GCF Formula

Least Common Multiple of 570,408 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 570,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,408) = 6

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

GCF(570,408) x common factors =6 x 1 = 6

LCM(570,408) = ( 570 × 408 ) / 6

LCM(570,408) = 232560 / 6

LCM(570,408) = 38760


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 767/570, 2587/408

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 767/570, 2587/408?

Answer: GCF of Numerators as per given numbers 767/570, 2587/408 is

GCF of Numerators i.e. for 767,2587 is 13

LCM of denominators i.e. for 570,408 is 38760.

Thus, GCF of Fractions is 13/38760.Finally, GCF of Fractions for 767/570, 2587/408 is 13/38760.