Greatest Common Factor of 25/458, 48/615, 100/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/458, 48/615, 100/861

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 25/458,48/615,100/861

Given fractions are 25/458,48/615,100/861

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 25,48,100

Greatest Common Factor of Numerators i.e. GCF of 25,48,100 is 1 .

LCM of Denominators means LCM of 458,615,861 as per the given fractions.

LCM of 458,615,861 is 1971690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,48,100

GCF of Fractions 25/458,48/615,100/861 is 1/1971690

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

Greatest Common Factor of 25,48,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,48,100 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 25,48,100 . The biggest common factor number is the GCF number.
So the greatest common factor 25,48,100 is 1.

Lets's calculate LCM of 458,615,861

3 458, 615, 861
41 458, 205, 287
458, 5, 7

∴ So the LCM of the given numbers is 3 x 41 x 458 x 5 x 7 = 1971690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1971690

Therefore, the GCF of Fractions 25/458,48/615,100/861 is 1/1971690

Least Common Multiple of 458,615,861 with GCF Formula

Least Common Multiple of 458,615,861 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 458,615,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,615,861) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(458,615,861) x common factors =1 x 123 = 123

LCM(458,615,861) = ( 458 × 615 × 861 ) / 123

LCM(458,615,861) = 242517870 / 123

LCM(458,615,861) = 1971690


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 25/458, 48/615, 100/861

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 25/458, 48/615, 100/861?

Answer: GCF of Numerators as per given numbers 25/458, 48/615, 100/861 is

GCF of Numerators i.e. for 25,48,100 is 1

LCM of denominators i.e. for 458,615,861 is 1971690.

Thus, GCF of Fractions is 1/1971690.Finally, GCF of Fractions for 25/458, 48/615, 100/861 is 1/1971690.