Greatest Common Factor of 621/73, 364/22, 100/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 621/73, 364/22, 100/234

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 621/73,364/22,100/234

Given fractions are 621/73,364/22,100/234

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 621,364,100

Greatest Common Factor of Numerators i.e. GCF of 621,364,100 is 1 .

LCM of Denominators means LCM of 73,22,234 as per the given fractions.

LCM of 73,22,234 is 187902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 621,364,100

GCF of Fractions 621/73,364/22,100/234 is 1/187902

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

Greatest Common Factor of 621,364,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,364,100 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 621,364,100 . The biggest common factor number is the GCF number.
So the greatest common factor 621,364,100 is 1.

Lets's calculate LCM of 73,22,234

2 73, 22, 234
73, 11, 117

∴ So the LCM of the given numbers is 2 x 73 x 11 x 117 = 187902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187902

Therefore, the GCF of Fractions 621/73,364/22,100/234 is 1/187902

Least Common Multiple of 73,22,234 with GCF Formula

Least Common Multiple of 73,22,234 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 73,22,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,22,234) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,22,234) x common factors =1 x 2 = 2

LCM(73,22,234) = ( 73 × 22 × 234 ) / 2

LCM(73,22,234) = 375804 / 2

LCM(73,22,234) = 187902


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 621/73, 364/22, 100/234

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 621/73, 364/22, 100/234?

Answer: GCF of Numerators as per given numbers 621/73, 364/22, 100/234 is

GCF of Numerators i.e. for 621,364,100 is 1

LCM of denominators i.e. for 73,22,234 is 187902.

Thus, GCF of Fractions is 1/187902.Finally, GCF of Fractions for 621/73, 364/22, 100/234 is 1/187902.