Greatest Common Factor of 29/205, 6564/9538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/205, 6564/9538

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 29/205,6564/9538

Given fractions are 29/205,6564/9538

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 29,6564

Greatest Common Factor of Numerators i.e. GCF of 29,6564 is 1 .

LCM of Denominators means LCM of 205,9538 as per the given fractions.

LCM of 205,9538 is 1955290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,6564

GCF of Fractions 29/205,6564/9538 is 1/1955290

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

Greatest Common Factor of 29,6564 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,6564 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1,2,3,4,6,12,547,1094,1641,2188,3282,6564

Greatest Common Factor

We found the factors 29,6564 . The biggest common factor number is the GCF number.
So the greatest common factor 29,6564 is 1.

Lets's calculate LCM of 205,9538

Given numbers has no common factors except 1. So, there LCM is their product i.e 1955290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1955290

Therefore, the GCF of Fractions 29/205,6564/9538 is 1/1955290

Least Common Multiple of 205,9538 with GCF Formula

Least Common Multiple of 205,9538 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 205,9538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,9538) = 1

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

GCF(205,9538) x common factors =1 x 1 = 1

LCM(205,9538) = ( 205 × 9538 ) / 1

LCM(205,9538) = 1955290 / 1

LCM(205,9538) = 1955290


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 29/205, 6564/9538

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 29/205, 6564/9538?

Answer: GCF of Numerators as per given numbers 29/205, 6564/9538 is

GCF of Numerators i.e. for 29,6564 is 1

LCM of denominators i.e. for 205,9538 is 1955290.

Thus, GCF of Fractions is 1/1955290.Finally, GCF of Fractions for 29/205, 6564/9538 is 1/1955290.