Greatest Common Factor of 8331/31, 6530/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8331/31, 6530/171

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 8331/31,6530/171

Given fractions are 8331/31,6530/171

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 8331,6530

Greatest Common Factor of Numerators i.e. GCF of 8331,6530 is 1 .

LCM of Denominators means LCM of 31,171 as per the given fractions.

LCM of 31,171 is 5301 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8331,6530

GCF of Fractions 8331/31,6530/171 is 1/5301

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

Greatest Common Factor of 8331,6530 By Matching Biggest Common Factor Method

Greatest Common Factor of 8331,6530 By Matching Biggest Common Factor Method

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

Greatest Common Factor

We found the factors 8331,6530 . The biggest common factor number is the GCF number.
So the greatest common factor 8331,6530 is 1.

Lets's calculate LCM of 31,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 5301

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5301

Therefore, the GCF of Fractions 8331/31,6530/171 is 1/5301

Least Common Multiple of 31,171 with GCF Formula

Least Common Multiple of 31,171 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 31,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,171) = 1

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

GCF(31,171) x common factors =1 x 1 = 1

LCM(31,171) = ( 31 × 171 ) / 1

LCM(31,171) = 5301 / 1

LCM(31,171) = 5301


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 8331/31, 6530/171

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 8331/31, 6530/171?

Answer: GCF of Numerators as per given numbers 8331/31, 6530/171 is

GCF of Numerators i.e. for 8331,6530 is 1

LCM of denominators i.e. for 31,171 is 5301.

Thus, GCF of Fractions is 1/5301.Finally, GCF of Fractions for 8331/31, 6530/171 is 1/5301.