Greatest Common Factor of 81/342, 25/437, 922/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/342, 25/437, 922/927

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 81/342,25/437,922/927

Given fractions are 81/342,25/437,922/927

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 81,25,922

Greatest Common Factor of Numerators i.e. GCF of 81,25,922 is 1 .

LCM of Denominators means LCM of 342,437,927 as per the given fractions.

LCM of 342,437,927 is 810198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,25,922

GCF of Fractions 81/342,25/437,922/927 is 1/810198

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

Greatest Common Factor of 81,25,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,25,922 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 81,25,922 . The biggest common factor number is the GCF number.
So the greatest common factor 81,25,922 is 1.

Lets's calculate LCM of 342,437,927

3 342, 437, 927
3 114, 437, 309
19 38, 437, 103
2, 23, 103

∴ So the LCM of the given numbers is 3 x 3 x 19 x 2 x 23 x 103 = 810198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810198

Therefore, the GCF of Fractions 81/342,25/437,922/927 is 1/810198

Least Common Multiple of 342,437,927 with GCF Formula

Least Common Multiple of 342,437,927 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 342,437,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,437,927) = 1

common factors(in case of two or more numbers have common factors) = 171

GCF(342,437,927) x common factors =1 x 171 = 171

LCM(342,437,927) = ( 342 × 437 × 927 ) / 171

LCM(342,437,927) = 138543858 / 171

LCM(342,437,927) = 810198


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 81/342, 25/437, 922/927

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 81/342, 25/437, 922/927?

Answer: GCF of Numerators as per given numbers 81/342, 25/437, 922/927 is

GCF of Numerators i.e. for 81,25,922 is 1

LCM of denominators i.e. for 342,437,927 is 810198.

Thus, GCF of Fractions is 1/810198.Finally, GCF of Fractions for 81/342, 25/437, 922/927 is 1/810198.