Greatest Common Factor of 581/264, 364/451, 681/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/264, 364/451, 681/924

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 581/264,364/451,681/924

Given fractions are 581/264,364/451,681/924

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 581,364,681

Greatest Common Factor of Numerators i.e. GCF of 581,364,681 is 1 .

LCM of Denominators means LCM of 264,451,924 as per the given fractions.

LCM of 264,451,924 is 75768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,364,681

GCF of Fractions 581/264,364/451,681/924 is 1/75768

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

Greatest Common Factor of 581,364,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,364,681 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 581,364,681 . The biggest common factor number is the GCF number.
So the greatest common factor 581,364,681 is 1.

Lets's calculate LCM of 264,451,924

2 264, 451, 924
2 132, 451, 462
3 66, 451, 231
11 22, 451, 77
2, 41, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 2 x 41 x 7 = 75768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75768

Therefore, the GCF of Fractions 581/264,364/451,681/924 is 1/75768

Least Common Multiple of 264,451,924 with GCF Formula

Least Common Multiple of 264,451,924 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 264,451,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,451,924) = 11

common factors(in case of two or more numbers have common factors) = 132

GCF(264,451,924) x common factors =11 x 132 = 1452

LCM(264,451,924) = ( 264 × 451 × 924 ) / 1452

LCM(264,451,924) = 110015136 / 1452

LCM(264,451,924) = 75768


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 581/264, 364/451, 681/924

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 581/264, 364/451, 681/924?

Answer: GCF of Numerators as per given numbers 581/264, 364/451, 681/924 is

GCF of Numerators i.e. for 581,364,681 is 1

LCM of denominators i.e. for 264,451,924 is 75768.

Thus, GCF of Fractions is 1/75768.Finally, GCF of Fractions for 581/264, 364/451, 681/924 is 1/75768.