Greatest Common Factor of 7236/528, 8727/9384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7236/528, 8727/9384

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 7236/528,8727/9384

Given fractions are 7236/528,8727/9384

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 7236,8727

Greatest Common Factor of Numerators i.e. GCF of 7236,8727 is 3 .

LCM of Denominators means LCM of 528,9384 as per the given fractions.

LCM of 528,9384 is 206448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7236,8727

GCF of Fractions 7236/528,8727/9384 is 3/206448

3 7236, 8727
2412, 2909

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7236,8727 By Matching Biggest Common Factor Method

Greatest Common Factor of 7236,8727 By Matching Biggest Common Factor Method

Factors of 7236

List of positive integer factors of 7236 that divides 7236 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1,3,2909,8727

Greatest Common Factor

We found the factors 7236,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 7236,8727 is 3.

Lets's calculate LCM of 528,9384

2 528, 9384
2 264, 4692
2 132, 2346
3 66, 1173
22, 391

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 22 x 391 = 206448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/206448

Therefore, the GCF of Fractions 7236/528,8727/9384 is 3/206448

Least Common Multiple of 528,9384 with GCF Formula

Least Common Multiple of 528,9384 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 528,9384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,9384) = 24

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

GCF(528,9384) x common factors =24 x 1 = 24

LCM(528,9384) = ( 528 × 9384 ) / 24

LCM(528,9384) = 4954752 / 24

LCM(528,9384) = 206448


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 7236/528, 8727/9384

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 7236/528, 8727/9384?

Answer: GCF of Numerators as per given numbers 7236/528, 8727/9384 is

GCF of Numerators i.e. for 7236,8727 is 3

LCM of denominators i.e. for 528,9384 is 206448.

Thus, GCF of Fractions is 3/206448.Finally, GCF of Fractions for 7236/528, 8727/9384 is 3/206448.