Greatest Common Factor of 25/906, 548/841, 220/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/906, 548/841, 220/501

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 25/906,548/841,220/501

Given fractions are 25/906,548/841,220/501

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 25,548,220

Greatest Common Factor of Numerators i.e. GCF of 25,548,220 is 1 .

LCM of Denominators means LCM of 906,841,501 as per the given fractions.

LCM of 906,841,501 is 127244982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,548,220

GCF of Fractions 25/906,548/841,220/501 is 1/127244982

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

Greatest Common Factor of 25,548,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,548,220 By Matching Biggest Common Factor Method

Factors of 25

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

1,5,25

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 25,548,220 . The biggest common factor number is the GCF number.
So the greatest common factor 25,548,220 is 1.

Lets's calculate LCM of 906,841,501

3 906, 841, 501
302, 841, 167

∴ So the LCM of the given numbers is 3 x 302 x 841 x 167 = 127244982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127244982

Therefore, the GCF of Fractions 25/906,548/841,220/501 is 1/127244982

Least Common Multiple of 906,841,501 with GCF Formula

Least Common Multiple of 906,841,501 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 906,841,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,841,501) = 1

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

GCF(906,841,501) x common factors =1 x 3 = 3

LCM(906,841,501) = ( 906 × 841 × 501 ) / 3

LCM(906,841,501) = 381734946 / 3

LCM(906,841,501) = 127244982


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 25/906, 548/841, 220/501

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 25/906, 548/841, 220/501?

Answer: GCF of Numerators as per given numbers 25/906, 548/841, 220/501 is

GCF of Numerators i.e. for 25,548,220 is 1

LCM of denominators i.e. for 906,841,501 is 127244982.

Thus, GCF of Fractions is 1/127244982.Finally, GCF of Fractions for 25/906, 548/841, 220/501 is 1/127244982.