Greatest Common Factor of 9451/279, 3002/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9451/279, 3002/181

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 9451/279,3002/181

Given fractions are 9451/279,3002/181

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 9451,3002

Greatest Common Factor of Numerators i.e. GCF of 9451,3002 is 1 .

LCM of Denominators means LCM of 279,181 as per the given fractions.

LCM of 279,181 is 50499 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9451,3002

GCF of Fractions 9451/279,3002/181 is 1/50499

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

Greatest Common Factor of 9451,3002 By Matching Biggest Common Factor Method

Greatest Common Factor of 9451,3002 By Matching Biggest Common Factor Method

Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1,13,727,9451

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1,2,19,38,79,158,1501,3002

Greatest Common Factor

We found the factors 9451,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 9451,3002 is 1.

Lets's calculate LCM of 279,181

Given numbers has no common factors except 1. So, there LCM is their product i.e 50499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50499

Therefore, the GCF of Fractions 9451/279,3002/181 is 1/50499

Least Common Multiple of 279,181 with GCF Formula

Least Common Multiple of 279,181 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 279,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,181) = 1

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

GCF(279,181) x common factors =1 x 1 = 1

LCM(279,181) = ( 279 × 181 ) / 1

LCM(279,181) = 50499 / 1

LCM(279,181) = 50499


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 9451/279, 3002/181

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 9451/279, 3002/181?

Answer: GCF of Numerators as per given numbers 9451/279, 3002/181 is

GCF of Numerators i.e. for 9451,3002 is 1

LCM of denominators i.e. for 279,181 is 50499.

Thus, GCF of Fractions is 1/50499.Finally, GCF of Fractions for 9451/279, 3002/181 is 1/50499.