Greatest Common Factor of 54/205, 772/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/205, 772/315

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 54/205,772/315

Given fractions are 54/205,772/315

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 54,772

Greatest Common Factor of Numerators i.e. GCF of 54,772 is 2 .

LCM of Denominators means LCM of 205,315 as per the given fractions.

LCM of 205,315 is 12915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,772

GCF of Fractions 54/205,772/315 is 2/12915

2 54, 772
27, 386

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

Greatest Common Factor of 54,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,772 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 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 54,772 . The biggest common factor number is the GCF number.
So the greatest common factor 54,772 is 2.

Lets's calculate LCM of 205,315

5 205, 315
41, 63

∴ So the LCM of the given numbers is 5 x 41 x 63 = 12915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12915

Therefore, the GCF of Fractions 54/205,772/315 is 2/12915

Least Common Multiple of 205,315 with GCF Formula

Least Common Multiple of 205,315 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 205,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,315) = 5

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

GCF(205,315) x common factors =5 x 1 = 5

LCM(205,315) = ( 205 × 315 ) / 5

LCM(205,315) = 64575 / 5

LCM(205,315) = 12915


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 54/205, 772/315

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 54/205, 772/315?

Answer: GCF of Numerators as per given numbers 54/205, 772/315 is

GCF of Numerators i.e. for 54,772 is 2

LCM of denominators i.e. for 205,315 is 12915.

Thus, GCF of Fractions is 2/12915.Finally, GCF of Fractions for 54/205, 772/315 is 2/12915.