Greatest Common Factor of 2701/743, 6064/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2701/743, 6064/258

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 2701/743,6064/258

Given fractions are 2701/743,6064/258

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 2701,6064

Greatest Common Factor of Numerators i.e. GCF of 2701,6064 is 1 .

LCM of Denominators means LCM of 743,258 as per the given fractions.

LCM of 743,258 is 191694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2701,6064

GCF of Fractions 2701/743,6064/258 is 1/191694

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

Greatest Common Factor of 2701,6064 By Matching Biggest Common Factor Method

Greatest Common Factor of 2701,6064 By Matching Biggest Common Factor Method

Factors of 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1,37,73,2701

Factors of 6064

List of positive integer factors of 6064 that divides 6064 without a remainder.

1,2,4,8,16,379,758,1516,3032,6064

Greatest Common Factor

We found the factors 2701,6064 . The biggest common factor number is the GCF number.
So the greatest common factor 2701,6064 is 1.

Lets's calculate LCM of 743,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 191694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191694

Therefore, the GCF of Fractions 2701/743,6064/258 is 1/191694

Least Common Multiple of 743,258 with GCF Formula

Least Common Multiple of 743,258 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 743,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,258) = 1

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

GCF(743,258) x common factors =1 x 1 = 1

LCM(743,258) = ( 743 × 258 ) / 1

LCM(743,258) = 191694 / 1

LCM(743,258) = 191694


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 2701/743, 6064/258

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 2701/743, 6064/258?

Answer: GCF of Numerators as per given numbers 2701/743, 6064/258 is

GCF of Numerators i.e. for 2701,6064 is 1

LCM of denominators i.e. for 743,258 is 191694.

Thus, GCF of Fractions is 1/191694.Finally, GCF of Fractions for 2701/743, 6064/258 is 1/191694.