Greatest Common Factor of 3013/49, 8091/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3013/49, 8091/762

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 3013/49,8091/762

Given fractions are 3013/49,8091/762

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 3013,8091

Greatest Common Factor of Numerators i.e. GCF of 3013,8091 is 1 .

LCM of Denominators means LCM of 49,762 as per the given fractions.

LCM of 49,762 is 37338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3013,8091

GCF of Fractions 3013/49,8091/762 is 1/37338

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

Greatest Common Factor of 3013,8091 By Matching Biggest Common Factor Method

Greatest Common Factor of 3013,8091 By Matching Biggest Common Factor Method

Factors of 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1,23,131,3013

Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1,3,9,29,31,87,93,261,279,899,2697,8091

Greatest Common Factor

We found the factors 3013,8091 . The biggest common factor number is the GCF number.
So the greatest common factor 3013,8091 is 1.

Lets's calculate LCM of 49,762

Given numbers has no common factors except 1. So, there LCM is their product i.e 37338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37338

Therefore, the GCF of Fractions 3013/49,8091/762 is 1/37338

Least Common Multiple of 49,762 with GCF Formula

Least Common Multiple of 49,762 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 49,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,762) = 1

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

GCF(49,762) x common factors =1 x 1 = 1

LCM(49,762) = ( 49 × 762 ) / 1

LCM(49,762) = 37338 / 1

LCM(49,762) = 37338


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 3013/49, 8091/762

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 3013/49, 8091/762?

Answer: GCF of Numerators as per given numbers 3013/49, 8091/762 is

GCF of Numerators i.e. for 3013,8091 is 1

LCM of denominators i.e. for 49,762 is 37338.

Thus, GCF of Fractions is 1/37338.Finally, GCF of Fractions for 3013/49, 8091/762 is 1/37338.