Greatest Common Factor of 648/31, 338/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/31, 338/221

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 648/31,338/221

Given fractions are 648/31,338/221

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 648,338

Greatest Common Factor of Numerators i.e. GCF of 648,338 is 2 .

LCM of Denominators means LCM of 31,221 as per the given fractions.

LCM of 31,221 is 6851 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,338

GCF of Fractions 648/31,338/221 is 2/6851

2 648, 338
324, 169

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

Greatest Common Factor of 648,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,338 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 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 648,338 . The biggest common factor number is the GCF number.
So the greatest common factor 648,338 is 2.

Lets's calculate LCM of 31,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 6851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6851

Therefore, the GCF of Fractions 648/31,338/221 is 2/6851

Least Common Multiple of 31,221 with GCF Formula

Least Common Multiple of 31,221 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 31,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,221) = 1

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

GCF(31,221) x common factors =1 x 1 = 1

LCM(31,221) = ( 31 × 221 ) / 1

LCM(31,221) = 6851 / 1

LCM(31,221) = 6851


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 648/31, 338/221

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 648/31, 338/221?

Answer: GCF of Numerators as per given numbers 648/31, 338/221 is

GCF of Numerators i.e. for 648,338 is 2

LCM of denominators i.e. for 31,221 is 6851.

Thus, GCF of Fractions is 2/6851.Finally, GCF of Fractions for 648/31, 338/221 is 2/6851.