Greatest Common Factor of 544/28, 621/93, 411/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/28, 621/93, 411/217

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 544/28,621/93,411/217

Given fractions are 544/28,621/93,411/217

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 544,621,411

Greatest Common Factor of Numerators i.e. GCF of 544,621,411 is 1 .

LCM of Denominators means LCM of 28,93,217 as per the given fractions.

LCM of 28,93,217 is 2604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,621,411

GCF of Fractions 544/28,621/93,411/217 is 1/2604

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

Greatest Common Factor of 544,621,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,621,411 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

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 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 544,621,411 . The biggest common factor number is the GCF number.
So the greatest common factor 544,621,411 is 1.

Lets's calculate LCM of 28,93,217

7 28, 93, 217
31 4, 93, 31
4, 3, 1

∴ So the LCM of the given numbers is 7 x 31 x 4 x 3 x 1 = 2604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604

Therefore, the GCF of Fractions 544/28,621/93,411/217 is 1/2604

Least Common Multiple of 28,93,217 with GCF Formula

Least Common Multiple of 28,93,217 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 28,93,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,93,217) = 1

common factors(in case of two or more numbers have common factors) = 217

GCF(28,93,217) x common factors =1 x 217 = 217

LCM(28,93,217) = ( 28 × 93 × 217 ) / 217

LCM(28,93,217) = 565068 / 217

LCM(28,93,217) = 2604


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 544/28, 621/93, 411/217

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 544/28, 621/93, 411/217?

Answer: GCF of Numerators as per given numbers 544/28, 621/93, 411/217 is

GCF of Numerators i.e. for 544,621,411 is 1

LCM of denominators i.e. for 28,93,217 is 2604.

Thus, GCF of Fractions is 1/2604.Finally, GCF of Fractions for 544/28, 621/93, 411/217 is 1/2604.