Greatest Common Factor of 8675/575, 3171/5811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8675/575, 3171/5811

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 8675/575,3171/5811

Given fractions are 8675/575,3171/5811

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 8675,3171

Greatest Common Factor of Numerators i.e. GCF of 8675,3171 is 1 .

LCM of Denominators means LCM of 575,5811 as per the given fractions.

LCM of 575,5811 is 3341325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8675,3171

GCF of Fractions 8675/575,3171/5811 is 1/3341325

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

Greatest Common Factor of 8675,3171 By Matching Biggest Common Factor Method

Greatest Common Factor of 8675,3171 By Matching Biggest Common Factor Method

Factors of 8675

List of positive integer factors of 8675 that divides 8675 without a remainder.

1,5,25,347,1735,8675

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1,3,7,21,151,453,1057,3171

Greatest Common Factor

We found the factors 8675,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 8675,3171 is 1.

Lets's calculate LCM of 575,5811

Given numbers has no common factors except 1. So, there LCM is their product i.e 3341325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3341325

Therefore, the GCF of Fractions 8675/575,3171/5811 is 1/3341325

Least Common Multiple of 575,5811 with GCF Formula

Least Common Multiple of 575,5811 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 575,5811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,5811) = 1

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

GCF(575,5811) x common factors =1 x 1 = 1

LCM(575,5811) = ( 575 × 5811 ) / 1

LCM(575,5811) = 3341325 / 1

LCM(575,5811) = 3341325


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 8675/575, 3171/5811

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 8675/575, 3171/5811?

Answer: GCF of Numerators as per given numbers 8675/575, 3171/5811 is

GCF of Numerators i.e. for 8675,3171 is 1

LCM of denominators i.e. for 575,5811 is 3341325.

Thus, GCF of Fractions is 1/3341325.Finally, GCF of Fractions for 8675/575, 3171/5811 is 1/3341325.