Greatest Common Factor of 289/31, 906/10, 492/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/31, 906/10, 492/546

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 289/31,906/10,492/546

Given fractions are 289/31,906/10,492/546

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 289,906,492

Greatest Common Factor of Numerators i.e. GCF of 289,906,492 is 1 .

LCM of Denominators means LCM of 31,10,546 as per the given fractions.

LCM of 31,10,546 is 84630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,906,492

GCF of Fractions 289/31,906/10,492/546 is 1/84630

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

Greatest Common Factor of 289,906,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,906,492 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 289,906,492 . The biggest common factor number is the GCF number.
So the greatest common factor 289,906,492 is 1.

Lets's calculate LCM of 31,10,546

2 31, 10, 546
31, 5, 273

∴ So the LCM of the given numbers is 2 x 31 x 5 x 273 = 84630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84630

Therefore, the GCF of Fractions 289/31,906/10,492/546 is 1/84630

Least Common Multiple of 31,10,546 with GCF Formula

Least Common Multiple of 31,10,546 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 31,10,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,10,546) = 1

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

GCF(31,10,546) x common factors =1 x 2 = 2

LCM(31,10,546) = ( 31 × 10 × 546 ) / 2

LCM(31,10,546) = 169260 / 2

LCM(31,10,546) = 84630


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 289/31, 906/10, 492/546

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 289/31, 906/10, 492/546?

Answer: GCF of Numerators as per given numbers 289/31, 906/10, 492/546 is

GCF of Numerators i.e. for 289,906,492 is 1

LCM of denominators i.e. for 31,10,546 is 84630.

Thus, GCF of Fractions is 1/84630.Finally, GCF of Fractions for 289/31, 906/10, 492/546 is 1/84630.