Greatest Common Factor of 110/289, 976/906, 425/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/289, 976/906, 425/987

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 110/289,976/906,425/987

Given fractions are 110/289,976/906,425/987

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 110,976,425

Greatest Common Factor of Numerators i.e. GCF of 110,976,425 is 1 .

LCM of Denominators means LCM of 289,906,987 as per the given fractions.

LCM of 289,906,987 is 86143386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,976,425

GCF of Fractions 110/289,976/906,425/987 is 1/86143386

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

Greatest Common Factor of 110,976,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,976,425 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 110,976,425 . The biggest common factor number is the GCF number.
So the greatest common factor 110,976,425 is 1.

Lets's calculate LCM of 289,906,987

3 289, 906, 987
289, 302, 329

∴ So the LCM of the given numbers is 3 x 289 x 302 x 329 = 86143386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86143386

Therefore, the GCF of Fractions 110/289,976/906,425/987 is 1/86143386

Least Common Multiple of 289,906,987 with GCF Formula

Least Common Multiple of 289,906,987 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 289,906,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,906,987) = 1

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

GCF(289,906,987) x common factors =1 x 3 = 3

LCM(289,906,987) = ( 289 × 906 × 987 ) / 3

LCM(289,906,987) = 258430158 / 3

LCM(289,906,987) = 86143386


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 110/289, 976/906, 425/987

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 110/289, 976/906, 425/987?

Answer: GCF of Numerators as per given numbers 110/289, 976/906, 425/987 is

GCF of Numerators i.e. for 110,976,425 is 1

LCM of denominators i.e. for 289,906,987 is 86143386.

Thus, GCF of Fractions is 1/86143386.Finally, GCF of Fractions for 110/289, 976/906, 425/987 is 1/86143386.