Greatest Common Factor of 864/40, 761/6972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 864/40, 761/6972

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 864/40,761/6972

Given fractions are 864/40,761/6972

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 864,761

Greatest Common Factor of Numerators i.e. GCF of 864,761 is 1 .

LCM of Denominators means LCM of 40,6972 as per the given fractions.

LCM of 40,6972 is 69720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 864,761

GCF of Fractions 864/40,761/6972 is 1/69720

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

Greatest Common Factor of 864,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,761 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 864,761 . The biggest common factor number is the GCF number.
So the greatest common factor 864,761 is 1.

Lets's calculate LCM of 40,6972

2 40, 6972
2 20, 3486
10, 1743

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1743 = 69720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69720

Therefore, the GCF of Fractions 864/40,761/6972 is 1/69720

Least Common Multiple of 40,6972 with GCF Formula

Least Common Multiple of 40,6972 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 40,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,6972) = 4

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

GCF(40,6972) x common factors =4 x 1 = 4

LCM(40,6972) = ( 40 × 6972 ) / 4

LCM(40,6972) = 278880 / 4

LCM(40,6972) = 69720


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 864/40, 761/6972

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 864/40, 761/6972?

Answer: GCF of Numerators as per given numbers 864/40, 761/6972 is

GCF of Numerators i.e. for 864,761 is 1

LCM of denominators i.e. for 40,6972 is 69720.

Thus, GCF of Fractions is 1/69720.Finally, GCF of Fractions for 864/40, 761/6972 is 1/69720.