Greatest Common Factor of 9207/729, 2534/7677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9207/729, 2534/7677

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 9207/729,2534/7677

Given fractions are 9207/729,2534/7677

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 9207,2534

Greatest Common Factor of Numerators i.e. GCF of 9207,2534 is 1 .

LCM of Denominators means LCM of 729,7677 as per the given fractions.

LCM of 729,7677 is 621837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9207,2534

GCF of Fractions 9207/729,2534/7677 is 1/621837

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

Greatest Common Factor of 9207,2534 By Matching Biggest Common Factor Method

Greatest Common Factor of 9207,2534 By Matching Biggest Common Factor Method

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1,2,7,14,181,362,1267,2534

Greatest Common Factor

We found the factors 9207,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,2534 is 1.

Lets's calculate LCM of 729,7677

3 729, 7677
3 243, 2559
81, 853

∴ So the LCM of the given numbers is 3 x 3 x 81 x 853 = 621837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621837

Therefore, the GCF of Fractions 9207/729,2534/7677 is 1/621837

Least Common Multiple of 729,7677 with GCF Formula

Least Common Multiple of 729,7677 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 729,7677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,7677) = 9

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

GCF(729,7677) x common factors =9 x 1 = 9

LCM(729,7677) = ( 729 × 7677 ) / 9

LCM(729,7677) = 5596533 / 9

LCM(729,7677) = 621837


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 9207/729, 2534/7677

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 9207/729, 2534/7677?

Answer: GCF of Numerators as per given numbers 9207/729, 2534/7677 is

GCF of Numerators i.e. for 9207,2534 is 1

LCM of denominators i.e. for 729,7677 is 621837.

Thus, GCF of Fractions is 1/621837.Finally, GCF of Fractions for 9207/729, 2534/7677 is 1/621837.