Greatest Common Factor of 3625/289, 8999/3187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3625/289, 8999/3187

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 3625/289,8999/3187

Given fractions are 3625/289,8999/3187

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 3625,8999

Greatest Common Factor of Numerators i.e. GCF of 3625,8999 is 1 .

LCM of Denominators means LCM of 289,3187 as per the given fractions.

LCM of 289,3187 is 921043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3625,8999

GCF of Fractions 3625/289,8999/3187 is 1/921043

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

Greatest Common Factor of 3625,8999 By Matching Biggest Common Factor Method

Greatest Common Factor of 3625,8999 By Matching Biggest Common Factor Method

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1,5,25,29,125,145,725,3625

Factors of 8999

List of positive integer factors of 8999 that divides 8999 without a remainder.

1,8999

Greatest Common Factor

We found the factors 3625,8999 . The biggest common factor number is the GCF number.
So the greatest common factor 3625,8999 is 1.

Lets's calculate LCM of 289,3187

Given numbers has no common factors except 1. So, there LCM is their product i.e 921043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/921043

Therefore, the GCF of Fractions 3625/289,8999/3187 is 1/921043

Least Common Multiple of 289,3187 with GCF Formula

Least Common Multiple of 289,3187 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 289,3187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,3187) = 1

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

GCF(289,3187) x common factors =1 x 1 = 1

LCM(289,3187) = ( 289 × 3187 ) / 1

LCM(289,3187) = 921043 / 1

LCM(289,3187) = 921043


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 3625/289, 8999/3187

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 3625/289, 8999/3187?

Answer: GCF of Numerators as per given numbers 3625/289, 8999/3187 is

GCF of Numerators i.e. for 3625,8999 is 1

LCM of denominators i.e. for 289,3187 is 921043.

Thus, GCF of Fractions is 1/921043.Finally, GCF of Fractions for 3625/289, 8999/3187 is 1/921043.