Greatest Common Factor of 7225/59, 1887/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7225/59, 1887/239

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 7225/59,1887/239

Given fractions are 7225/59,1887/239

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 7225,1887

Greatest Common Factor of Numerators i.e. GCF of 7225,1887 is 17 .

LCM of Denominators means LCM of 59,239 as per the given fractions.

LCM of 59,239 is 14101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7225,1887

GCF of Fractions 7225/59,1887/239 is 17/14101

17 7225, 1887
425, 111

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7225,1887 By Matching Biggest Common Factor Method

Greatest Common Factor of 7225,1887 By Matching Biggest Common Factor Method

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1,5,17,25,85,289,425,1445,7225

Factors of 1887

List of positive integer factors of 1887 that divides 1887 without a remainder.

1,3,17,37,51,111,629,1887

Greatest Common Factor

We found the factors 7225,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 7225,1887 is 17.

Lets's calculate LCM of 59,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 14101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/14101

Therefore, the GCF of Fractions 7225/59,1887/239 is 17/14101

Least Common Multiple of 59,239 with GCF Formula

Least Common Multiple of 59,239 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 59,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,239) = 1

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

GCF(59,239) x common factors =1 x 1 = 1

LCM(59,239) = ( 59 × 239 ) / 1

LCM(59,239) = 14101 / 1

LCM(59,239) = 14101


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 7225/59, 1887/239

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 7225/59, 1887/239?

Answer: GCF of Numerators as per given numbers 7225/59, 1887/239 is

GCF of Numerators i.e. for 7225,1887 is 17

LCM of denominators i.e. for 59,239 is 14101.

Thus, GCF of Fractions is 17/14101.Finally, GCF of Fractions for 7225/59, 1887/239 is 17/14101.