Greatest Common Factor of 322/54, 562/25, 408/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 322/54, 562/25, 408/184

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 322/54,562/25,408/184

Given fractions are 322/54,562/25,408/184

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 322,562,408

Greatest Common Factor of Numerators i.e. GCF of 322,562,408 is 2 .

LCM of Denominators means LCM of 54,25,184 as per the given fractions.

LCM of 54,25,184 is 124200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 322,562,408

GCF of Fractions 322/54,562/25,408/184 is 2/124200

2 322, 562, 408
161, 281, 204

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

Greatest Common Factor of 322,562,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,562,408 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 322,562,408 . The biggest common factor number is the GCF number.
So the greatest common factor 322,562,408 is 2.

Lets's calculate LCM of 54,25,184

2 54, 25, 184
27, 25, 92

∴ So the LCM of the given numbers is 2 x 27 x 25 x 92 = 124200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124200

Therefore, the GCF of Fractions 322/54,562/25,408/184 is 2/124200

Least Common Multiple of 54,25,184 with GCF Formula

Least Common Multiple of 54,25,184 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 54,25,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,25,184) = 1

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

GCF(54,25,184) x common factors =1 x 2 = 2

LCM(54,25,184) = ( 54 × 25 × 184 ) / 2

LCM(54,25,184) = 248400 / 2

LCM(54,25,184) = 124200


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 322/54, 562/25, 408/184

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 322/54, 562/25, 408/184?

Answer: GCF of Numerators as per given numbers 322/54, 562/25, 408/184 is

GCF of Numerators i.e. for 322,562,408 is 2

LCM of denominators i.e. for 54,25,184 is 124200.

Thus, GCF of Fractions is 2/124200.Finally, GCF of Fractions for 322/54, 562/25, 408/184 is 2/124200.