Greatest Common Factor of 648/67, 403/84, 634/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/67, 403/84, 634/213

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 648/67,403/84,634/213

Given fractions are 648/67,403/84,634/213

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 648,403,634

Greatest Common Factor of Numerators i.e. GCF of 648,403,634 is 1 .

LCM of Denominators means LCM of 67,84,213 as per the given fractions.

LCM of 67,84,213 is 399588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,403,634

GCF of Fractions 648/67,403/84,634/213 is 1/399588

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

Greatest Common Factor of 648,403,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,403,634 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 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 648,403,634 . The biggest common factor number is the GCF number.
So the greatest common factor 648,403,634 is 1.

Lets's calculate LCM of 67,84,213

3 67, 84, 213
67, 28, 71

∴ So the LCM of the given numbers is 3 x 67 x 28 x 71 = 399588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399588

Therefore, the GCF of Fractions 648/67,403/84,634/213 is 1/399588

Least Common Multiple of 67,84,213 with GCF Formula

Least Common Multiple of 67,84,213 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 67,84,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,84,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(67,84,213) x common factors =1 x 3 = 3

LCM(67,84,213) = ( 67 × 84 × 213 ) / 3

LCM(67,84,213) = 1198764 / 3

LCM(67,84,213) = 399588


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 648/67, 403/84, 634/213

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 648/67, 403/84, 634/213?

Answer: GCF of Numerators as per given numbers 648/67, 403/84, 634/213 is

GCF of Numerators i.e. for 648,403,634 is 1

LCM of denominators i.e. for 67,84,213 is 399588.

Thus, GCF of Fractions is 1/399588.Finally, GCF of Fractions for 648/67, 403/84, 634/213 is 1/399588.