Greatest Common Factor of 8925/265, 8364/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8925/265, 8364/585

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 8925/265,8364/585

Given fractions are 8925/265,8364/585

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 8925,8364

Greatest Common Factor of Numerators i.e. GCF of 8925,8364 is 51 .

LCM of Denominators means LCM of 265,585 as per the given fractions.

LCM of 265,585 is 31005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8925,8364

GCF of Fractions 8925/265,8364/585 is 51/31005

3 8925, 8364
17 2975, 2788
175, 164

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 8925,8364 By Matching Biggest Common Factor Method

Greatest Common Factor of 8925,8364 By Matching Biggest Common Factor Method

Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Greatest Common Factor

We found the factors 8925,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 8925,8364 is 51.

Lets's calculate LCM of 265,585

5 265, 585
53, 117

∴ So the LCM of the given numbers is 5 x 53 x 117 = 31005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/31005

Therefore, the GCF of Fractions 8925/265,8364/585 is 51/31005

Least Common Multiple of 265,585 with GCF Formula

Least Common Multiple of 265,585 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 265,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,585) = 5

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

GCF(265,585) x common factors =5 x 1 = 5

LCM(265,585) = ( 265 × 585 ) / 5

LCM(265,585) = 155025 / 5

LCM(265,585) = 31005


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 8925/265, 8364/585

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 8925/265, 8364/585?

Answer: GCF of Numerators as per given numbers 8925/265, 8364/585 is

GCF of Numerators i.e. for 8925,8364 is 51

LCM of denominators i.e. for 265,585 is 31005.

Thus, GCF of Fractions is 51/31005.Finally, GCF of Fractions for 8925/265, 8364/585 is 51/31005.