Greatest Common Factor of 54/379, 855/254, 456/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/379, 855/254, 456/630

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 54/379,855/254,456/630

Given fractions are 54/379,855/254,456/630

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 54,855,456

Greatest Common Factor of Numerators i.e. GCF of 54,855,456 is 3 .

LCM of Denominators means LCM of 379,254,630 as per the given fractions.

LCM of 379,254,630 is 30323790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,855,456

GCF of Fractions 54/379,855/254,456/630 is 3/30323790

3 54, 855, 456
18, 285, 152

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 54,855,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,855,456 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 54,855,456 . The biggest common factor number is the GCF number.
So the greatest common factor 54,855,456 is 3.

Lets's calculate LCM of 379,254,630

2 379, 254, 630
379, 127, 315

∴ So the LCM of the given numbers is 2 x 379 x 127 x 315 = 30323790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30323790

Therefore, the GCF of Fractions 54/379,855/254,456/630 is 3/30323790

Least Common Multiple of 379,254,630 with GCF Formula

Least Common Multiple of 379,254,630 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 379,254,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,254,630) = 1

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

GCF(379,254,630) x common factors =1 x 2 = 2

LCM(379,254,630) = ( 379 × 254 × 630 ) / 2

LCM(379,254,630) = 60647580 / 2

LCM(379,254,630) = 30323790


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 54/379, 855/254, 456/630

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 54/379, 855/254, 456/630?

Answer: GCF of Numerators as per given numbers 54/379, 855/254, 456/630 is

GCF of Numerators i.e. for 54,855,456 is 3

LCM of denominators i.e. for 379,254,630 is 30323790.

Thus, GCF of Fractions is 3/30323790.Finally, GCF of Fractions for 54/379, 855/254, 456/630 is 3/30323790.