Greatest Common Factor of 807/24, 927/77, 714/91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/24, 927/77, 714/91

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 807/24,927/77,714/91

Given fractions are 807/24,927/77,714/91

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 807,927,714

Greatest Common Factor of Numerators i.e. GCF of 807,927,714 is 3 .

LCM of Denominators means LCM of 24,77,91 as per the given fractions.

LCM of 24,77,91 is 24024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,927,714

GCF of Fractions 807/24,927/77,714/91 is 3/24024

3 807, 927, 714
269, 309, 238

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 807,927,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,927,714 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 807,927,714 . The biggest common factor number is the GCF number.
So the greatest common factor 807,927,714 is 3.

Lets's calculate LCM of 24,77,91

7 24, 77, 91
24, 11, 13

∴ So the LCM of the given numbers is 7 x 24 x 11 x 13 = 24024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24024

Therefore, the GCF of Fractions 807/24,927/77,714/91 is 3/24024

Least Common Multiple of 24,77,91 with GCF Formula

Least Common Multiple of 24,77,91 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 24,77,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,77,91) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(24,77,91) x common factors =1 x 7 = 7

LCM(24,77,91) = ( 24 × 77 × 91 ) / 7

LCM(24,77,91) = 168168 / 7

LCM(24,77,91) = 24024


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 807/24, 927/77, 714/91

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 807/24, 927/77, 714/91?

Answer: GCF of Numerators as per given numbers 807/24, 927/77, 714/91 is

GCF of Numerators i.e. for 807,927,714 is 3

LCM of denominators i.e. for 24,77,91 is 24024.

Thus, GCF of Fractions is 3/24024.Finally, GCF of Fractions for 807/24, 927/77, 714/91 is 3/24024.