Greatest Common Factor of 21/164, 104/820, 455/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/164, 104/820, 455/194

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 21/164,104/820,455/194

Given fractions are 21/164,104/820,455/194

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 21,104,455

Greatest Common Factor of Numerators i.e. GCF of 21,104,455 is 1 .

LCM of Denominators means LCM of 164,820,194 as per the given fractions.

LCM of 164,820,194 is 79540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,104,455

GCF of Fractions 21/164,104/820,455/194 is 1/79540

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

Greatest Common Factor of 21,104,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,104,455 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 21,104,455 . The biggest common factor number is the GCF number.
So the greatest common factor 21,104,455 is 1.

Lets's calculate LCM of 164,820,194

2 164, 820, 194
2 82, 410, 97
41 41, 205, 97
1, 5, 97

∴ So the LCM of the given numbers is 2 x 2 x 41 x 1 x 5 x 97 = 79540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79540

Therefore, the GCF of Fractions 21/164,104/820,455/194 is 1/79540

Least Common Multiple of 164,820,194 with GCF Formula

Least Common Multiple of 164,820,194 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 164,820,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,820,194) = 2

common factors(in case of two or more numbers have common factors) = 164

GCF(164,820,194) x common factors =2 x 164 = 328

LCM(164,820,194) = ( 164 × 820 × 194 ) / 328

LCM(164,820,194) = 26089120 / 328

LCM(164,820,194) = 79540


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 21/164, 104/820, 455/194

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 21/164, 104/820, 455/194?

Answer: GCF of Numerators as per given numbers 21/164, 104/820, 455/194 is

GCF of Numerators i.e. for 21,104,455 is 1

LCM of denominators i.e. for 164,820,194 is 79540.

Thus, GCF of Fractions is 1/79540.Finally, GCF of Fractions for 21/164, 104/820, 455/194 is 1/79540.