Greatest Common Factor of 584/120, 455/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/120, 455/378

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 584/120,455/378

Given fractions are 584/120,455/378

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 584,455

Greatest Common Factor of Numerators i.e. GCF of 584,455 is 1 .

LCM of Denominators means LCM of 120,378 as per the given fractions.

LCM of 120,378 is 7560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,455

GCF of Fractions 584/120,455/378 is 1/7560

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

Greatest Common Factor of 584,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,455 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 584,455 . The biggest common factor number is the GCF number.
So the greatest common factor 584,455 is 1.

Lets's calculate LCM of 120,378

2 120, 378
3 60, 189
20, 63

∴ So the LCM of the given numbers is 2 x 3 x 20 x 63 = 7560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7560

Therefore, the GCF of Fractions 584/120,455/378 is 1/7560

Least Common Multiple of 120,378 with GCF Formula

Least Common Multiple of 120,378 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 120,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,378) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(120,378) x common factors =6 x 1 = 6

LCM(120,378) = ( 120 × 378 ) / 6

LCM(120,378) = 45360 / 6

LCM(120,378) = 7560


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 584/120, 455/378

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 584/120, 455/378?

Answer: GCF of Numerators as per given numbers 584/120, 455/378 is

GCF of Numerators i.e. for 584,455 is 1

LCM of denominators i.e. for 120,378 is 7560.

Thus, GCF of Fractions is 1/7560.Finally, GCF of Fractions for 584/120, 455/378 is 1/7560.