Greatest Common Factor of 54/425, 84/918, 364/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/425, 84/918, 364/792

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 54/425,84/918,364/792

Given fractions are 54/425,84/918,364/792

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 54,84,364

Greatest Common Factor of Numerators i.e. GCF of 54,84,364 is 2 .

LCM of Denominators means LCM of 425,918,792 as per the given fractions.

LCM of 425,918,792 is 1009800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,84,364

GCF of Fractions 54/425,84/918,364/792 is 2/1009800

2 54, 84, 364
27, 42, 182

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 54,84,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,84,364 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 54,84,364 . The biggest common factor number is the GCF number.
So the greatest common factor 54,84,364 is 2.

Lets's calculate LCM of 425,918,792

2 425, 918, 792
3 425, 459, 396
3 425, 153, 132
17 425, 51, 44
25, 3, 44

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 25 x 3 x 44 = 1009800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1009800

Therefore, the GCF of Fractions 54/425,84/918,364/792 is 2/1009800

Least Common Multiple of 425,918,792 with GCF Formula

Least Common Multiple of 425,918,792 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 425,918,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,918,792) = 1

common factors(in case of two or more numbers have common factors) = 306

GCF(425,918,792) x common factors =1 x 306 = 306

LCM(425,918,792) = ( 425 × 918 × 792 ) / 306

LCM(425,918,792) = 308998800 / 306

LCM(425,918,792) = 1009800


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 54/425, 84/918, 364/792

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 54/425, 84/918, 364/792?

Answer: GCF of Numerators as per given numbers 54/425, 84/918, 364/792 is

GCF of Numerators i.e. for 54,84,364 is 2

LCM of denominators i.e. for 425,918,792 is 1009800.

Thus, GCF of Fractions is 2/1009800.Finally, GCF of Fractions for 54/425, 84/918, 364/792 is 2/1009800.