Greatest Common Factor of 211/18, 178/42, 653/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 211/18, 178/42, 653/638

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 211/18,178/42,653/638

Given fractions are 211/18,178/42,653/638

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 211,178,653

Greatest Common Factor of Numerators i.e. GCF of 211,178,653 is 1 .

LCM of Denominators means LCM of 18,42,638 as per the given fractions.

LCM of 18,42,638 is 40194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 211,178,653

GCF of Fractions 211/18,178/42,653/638 is 1/40194

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

Greatest Common Factor of 211,178,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,178,653 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 211,178,653 . The biggest common factor number is the GCF number.
So the greatest common factor 211,178,653 is 1.

Lets's calculate LCM of 18,42,638

2 18, 42, 638
3 9, 21, 319
3, 7, 319

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 319 = 40194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40194

Therefore, the GCF of Fractions 211/18,178/42,653/638 is 1/40194

Least Common Multiple of 18,42,638 with GCF Formula

Least Common Multiple of 18,42,638 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 18,42,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,42,638) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(18,42,638) x common factors =2 x 6 = 12

LCM(18,42,638) = ( 18 × 42 × 638 ) / 12

LCM(18,42,638) = 482328 / 12

LCM(18,42,638) = 40194


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 211/18, 178/42, 653/638

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 211/18, 178/42, 653/638?

Answer: GCF of Numerators as per given numbers 211/18, 178/42, 653/638 is

GCF of Numerators i.e. for 211,178,653 is 1

LCM of denominators i.e. for 18,42,638 is 40194.

Thus, GCF of Fractions is 1/40194.Finally, GCF of Fractions for 211/18, 178/42, 653/638 is 1/40194.