Greatest Common Factor of 911/73, 620/28, 213/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 911/73, 620/28, 213/38

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 911/73,620/28,213/38

Given fractions are 911/73,620/28,213/38

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 911,620,213

Greatest Common Factor of Numerators i.e. GCF of 911,620,213 is 1 .

LCM of Denominators means LCM of 73,28,38 as per the given fractions.

LCM of 73,28,38 is 38836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 911,620,213

GCF of Fractions 911/73,620/28,213/38 is 1/38836

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

Greatest Common Factor of 911,620,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,620,213 By Matching Biggest Common Factor Method

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 911,620,213 . The biggest common factor number is the GCF number.
So the greatest common factor 911,620,213 is 1.

Lets's calculate LCM of 73,28,38

2 73, 28, 38
73, 14, 19

∴ So the LCM of the given numbers is 2 x 73 x 14 x 19 = 38836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38836

Therefore, the GCF of Fractions 911/73,620/28,213/38 is 1/38836

Least Common Multiple of 73,28,38 with GCF Formula

Least Common Multiple of 73,28,38 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 73,28,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,28,38) = 1

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

GCF(73,28,38) x common factors =1 x 2 = 2

LCM(73,28,38) = ( 73 × 28 × 38 ) / 2

LCM(73,28,38) = 77672 / 2

LCM(73,28,38) = 38836


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 911/73, 620/28, 213/38

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 911/73, 620/28, 213/38?

Answer: GCF of Numerators as per given numbers 911/73, 620/28, 213/38 is

GCF of Numerators i.e. for 911,620,213 is 1

LCM of denominators i.e. for 73,28,38 is 38836.

Thus, GCF of Fractions is 1/38836.Finally, GCF of Fractions for 911/73, 620/28, 213/38 is 1/38836.