Greatest Common Factor of 1501/23, 3292/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1501/23, 3292/613

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 1501/23,3292/613

Given fractions are 1501/23,3292/613

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 1501,3292

Greatest Common Factor of Numerators i.e. GCF of 1501,3292 is 1 .

LCM of Denominators means LCM of 23,613 as per the given fractions.

LCM of 23,613 is 14099 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1501,3292

GCF of Fractions 1501/23,3292/613 is 1/14099

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

Greatest Common Factor of 1501,3292 By Matching Biggest Common Factor Method

Greatest Common Factor of 1501,3292 By Matching Biggest Common Factor Method

Factors of 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1,19,79,1501

Factors of 3292

List of positive integer factors of 3292 that divides 3292 without a remainder.

1,2,4,823,1646,3292

Greatest Common Factor

We found the factors 1501,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 1501,3292 is 1.

Lets's calculate LCM of 23,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 14099

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14099

Therefore, the GCF of Fractions 1501/23,3292/613 is 1/14099

Least Common Multiple of 23,613 with GCF Formula

Least Common Multiple of 23,613 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 23,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,613) = 1

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

GCF(23,613) x common factors =1 x 1 = 1

LCM(23,613) = ( 23 × 613 ) / 1

LCM(23,613) = 14099 / 1

LCM(23,613) = 14099


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 1501/23, 3292/613

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 1501/23, 3292/613?

Answer: GCF of Numerators as per given numbers 1501/23, 3292/613 is

GCF of Numerators i.e. for 1501,3292 is 1

LCM of denominators i.e. for 23,613 is 14099.

Thus, GCF of Fractions is 1/14099.Finally, GCF of Fractions for 1501/23, 3292/613 is 1/14099.