Greatest Common Factor of 82/872, 331/468, 574/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/872, 331/468, 574/926

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 82/872,331/468,574/926

Given fractions are 82/872,331/468,574/926

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 82,331,574

Greatest Common Factor of Numerators i.e. GCF of 82,331,574 is 1 .

LCM of Denominators means LCM of 872,468,926 as per the given fractions.

LCM of 872,468,926 is 47237112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,331,574

GCF of Fractions 82/872,331/468,574/926 is 1/47237112

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

Greatest Common Factor of 82,331,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,331,574 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 82,331,574 . The biggest common factor number is the GCF number.
So the greatest common factor 82,331,574 is 1.

Lets's calculate LCM of 872,468,926

2 872, 468, 926
2 436, 234, 463
218, 117, 463

∴ So the LCM of the given numbers is 2 x 2 x 218 x 117 x 463 = 47237112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47237112

Therefore, the GCF of Fractions 82/872,331/468,574/926 is 1/47237112

Least Common Multiple of 872,468,926 with GCF Formula

Least Common Multiple of 872,468,926 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 872,468,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,468,926) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(872,468,926) x common factors =2 x 4 = 8

LCM(872,468,926) = ( 872 × 468 × 926 ) / 8

LCM(872,468,926) = 377896896 / 8

LCM(872,468,926) = 47237112


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 82/872, 331/468, 574/926

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 82/872, 331/468, 574/926?

Answer: GCF of Numerators as per given numbers 82/872, 331/468, 574/926 is

GCF of Numerators i.e. for 82,331,574 is 1

LCM of denominators i.e. for 872,468,926 is 47237112.

Thus, GCF of Fractions is 1/47237112.Finally, GCF of Fractions for 82/872, 331/468, 574/926 is 1/47237112.