Greatest Common Factor of 187/93, 825/8271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 187/93, 825/8271

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 187/93,825/8271

Given fractions are 187/93,825/8271

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 187,825

Greatest Common Factor of Numerators i.e. GCF of 187,825 is 11 .

LCM of Denominators means LCM of 93,8271 as per the given fractions.

LCM of 93,8271 is 256401 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 187,825

GCF of Fractions 187/93,825/8271 is 11/256401

11 187, 825
17, 75

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 187,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,825 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 187,825 . The biggest common factor number is the GCF number.
So the greatest common factor 187,825 is 11.

Lets's calculate LCM of 93,8271

3 93, 8271
31, 2757

∴ So the LCM of the given numbers is 3 x 31 x 2757 = 256401

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/256401

Therefore, the GCF of Fractions 187/93,825/8271 is 11/256401

Least Common Multiple of 93,8271 with GCF Formula

Least Common Multiple of 93,8271 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 93,8271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,8271) = 3

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

GCF(93,8271) x common factors =3 x 1 = 3

LCM(93,8271) = ( 93 × 8271 ) / 3

LCM(93,8271) = 769203 / 3

LCM(93,8271) = 256401


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 187/93, 825/8271

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 187/93, 825/8271?

Answer: GCF of Numerators as per given numbers 187/93, 825/8271 is

GCF of Numerators i.e. for 187,825 is 11

LCM of denominators i.e. for 93,8271 is 256401.

Thus, GCF of Fractions is 11/256401.Finally, GCF of Fractions for 187/93, 825/8271 is 11/256401.