Greatest Common Factor of 273/463, 489/938, 779/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/463, 489/938, 779/242

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 273/463,489/938,779/242

Given fractions are 273/463,489/938,779/242

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 273,489,779

Greatest Common Factor of Numerators i.e. GCF of 273,489,779 is 1 .

LCM of Denominators means LCM of 463,938,242 as per the given fractions.

LCM of 463,938,242 is 52549574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,489,779

GCF of Fractions 273/463,489/938,779/242 is 1/52549574

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

Greatest Common Factor of 273,489,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,489,779 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 273,489,779 . The biggest common factor number is the GCF number.
So the greatest common factor 273,489,779 is 1.

Lets's calculate LCM of 463,938,242

2 463, 938, 242
463, 469, 121

∴ So the LCM of the given numbers is 2 x 463 x 469 x 121 = 52549574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52549574

Therefore, the GCF of Fractions 273/463,489/938,779/242 is 1/52549574

Least Common Multiple of 463,938,242 with GCF Formula

Least Common Multiple of 463,938,242 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 463,938,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,938,242) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(463,938,242) x common factors =1 x 2 = 2

LCM(463,938,242) = ( 463 × 938 × 242 ) / 2

LCM(463,938,242) = 105099148 / 2

LCM(463,938,242) = 52549574


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 273/463, 489/938, 779/242

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 273/463, 489/938, 779/242?

Answer: GCF of Numerators as per given numbers 273/463, 489/938, 779/242 is

GCF of Numerators i.e. for 273,489,779 is 1

LCM of denominators i.e. for 463,938,242 is 52549574.

Thus, GCF of Fractions is 1/52549574.Finally, GCF of Fractions for 273/463, 489/938, 779/242 is 1/52549574.