Greatest Common Factor of 254/51, 427/49, 460/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/51, 427/49, 460/81

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 254/51,427/49,460/81

Given fractions are 254/51,427/49,460/81

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 254,427,460

Greatest Common Factor of Numerators i.e. GCF of 254,427,460 is 1 .

LCM of Denominators means LCM of 51,49,81 as per the given fractions.

LCM of 51,49,81 is 67473 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,427,460

GCF of Fractions 254/51,427/49,460/81 is 1/67473

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

Greatest Common Factor of 254,427,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,427,460 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 254,427,460 . The biggest common factor number is the GCF number.
So the greatest common factor 254,427,460 is 1.

Lets's calculate LCM of 51,49,81

3 51, 49, 81
17, 49, 27

∴ So the LCM of the given numbers is 3 x 17 x 49 x 27 = 67473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67473

Therefore, the GCF of Fractions 254/51,427/49,460/81 is 1/67473

Least Common Multiple of 51,49,81 with GCF Formula

Least Common Multiple of 51,49,81 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 51,49,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,49,81) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,49,81) x common factors =1 x 3 = 3

LCM(51,49,81) = ( 51 × 49 × 81 ) / 3

LCM(51,49,81) = 202419 / 3

LCM(51,49,81) = 67473


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 254/51, 427/49, 460/81

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 254/51, 427/49, 460/81?

Answer: GCF of Numerators as per given numbers 254/51, 427/49, 460/81 is

GCF of Numerators i.e. for 254,427,460 is 1

LCM of denominators i.e. for 51,49,81 is 67473.

Thus, GCF of Fractions is 1/67473.Finally, GCF of Fractions for 254/51, 427/49, 460/81 is 1/67473.