Greatest Common Factor of 205/23, 779/9702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 205/23, 779/9702

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 205/23,779/9702

Given fractions are 205/23,779/9702

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 205,779

Greatest Common Factor of Numerators i.e. GCF of 205,779 is 41 .

LCM of Denominators means LCM of 23,9702 as per the given fractions.

LCM of 23,9702 is 223146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 205,779

GCF of Fractions 205/23,779/9702 is 41/223146

41 205, 779
5, 19

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 205,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,779 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 205,779 . The biggest common factor number is the GCF number.
So the greatest common factor 205,779 is 41.

Lets's calculate LCM of 23,9702

Given numbers has no common factors except 1. So, there LCM is their product i.e 223146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/223146

Therefore, the GCF of Fractions 205/23,779/9702 is 41/223146

Least Common Multiple of 23,9702 with GCF Formula

Least Common Multiple of 23,9702 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 23,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,9702) = 1

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

GCF(23,9702) x common factors =1 x 1 = 1

LCM(23,9702) = ( 23 × 9702 ) / 1

LCM(23,9702) = 223146 / 1

LCM(23,9702) = 223146


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 205/23, 779/9702

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 205/23, 779/9702?

Answer: GCF of Numerators as per given numbers 205/23, 779/9702 is

GCF of Numerators i.e. for 205,779 is 41

LCM of denominators i.e. for 23,9702 is 223146.

Thus, GCF of Fractions is 41/223146.Finally, GCF of Fractions for 205/23, 779/9702 is 41/223146.