Greatest Common Factor of 100/65, 557/23, 353/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/65, 557/23, 353/41

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 100/65,557/23,353/41

Given fractions are 100/65,557/23,353/41

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 100,557,353

Greatest Common Factor of Numerators i.e. GCF of 100,557,353 is 1 .

LCM of Denominators means LCM of 65,23,41 as per the given fractions.

LCM of 65,23,41 is 61295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,557,353

GCF of Fractions 100/65,557/23,353/41 is 1/61295

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

Greatest Common Factor of 100,557,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,557,353 By Matching Biggest Common Factor Method

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

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 100,557,353 . The biggest common factor number is the GCF number.
So the greatest common factor 100,557,353 is 1.

Lets's calculate LCM of 65,23,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 61295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61295

Therefore, the GCF of Fractions 100/65,557/23,353/41 is 1/61295

Least Common Multiple of 65,23,41 with GCF Formula

Least Common Multiple of 65,23,41 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 65,23,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,23,41) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,23,41) x common factors =1 x 1 = 1

LCM(65,23,41) = ( 65 × 23 × 41 ) / 1

LCM(65,23,41) = 61295 / 1

LCM(65,23,41) = 61295


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 100/65, 557/23, 353/41

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 100/65, 557/23, 353/41?

Answer: GCF of Numerators as per given numbers 100/65, 557/23, 353/41 is

GCF of Numerators i.e. for 100,557,353 is 1

LCM of denominators i.e. for 65,23,41 is 61295.

Thus, GCF of Fractions is 1/61295.Finally, GCF of Fractions for 100/65, 557/23, 353/41 is 1/61295.