Greatest Common Factor of 648/546, 8368/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/546, 8368/331

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 648/546,8368/331

Given fractions are 648/546,8368/331

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 648,8368

Greatest Common Factor of Numerators i.e. GCF of 648,8368 is 8 .

LCM of Denominators means LCM of 546,331 as per the given fractions.

LCM of 546,331 is 180726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,8368

GCF of Fractions 648/546,8368/331 is 8/180726

2 648, 8368
2 324, 4184
2 162, 2092
81, 1046

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 648,8368 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,8368 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 8368

List of positive integer factors of 8368 that divides 8368 without a remainder.

1,2,4,8,16,523,1046,2092,4184,8368

Greatest Common Factor

We found the factors 648,8368 . The biggest common factor number is the GCF number.
So the greatest common factor 648,8368 is 8.

Lets's calculate LCM of 546,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 180726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/180726

Therefore, the GCF of Fractions 648/546,8368/331 is 8/180726

Least Common Multiple of 546,331 with GCF Formula

Least Common Multiple of 546,331 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 546,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,331) = 1

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

GCF(546,331) x common factors =1 x 1 = 1

LCM(546,331) = ( 546 × 331 ) / 1

LCM(546,331) = 180726 / 1

LCM(546,331) = 180726


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 648/546, 8368/331

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 648/546, 8368/331?

Answer: GCF of Numerators as per given numbers 648/546, 8368/331 is

GCF of Numerators i.e. for 648,8368 is 8

LCM of denominators i.e. for 546,331 is 180726.

Thus, GCF of Fractions is 8/180726.Finally, GCF of Fractions for 648/546, 8368/331 is 8/180726.