Greatest Common Factor of 2740/581, 3375/9151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2740/581, 3375/9151

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 2740/581,3375/9151

Given fractions are 2740/581,3375/9151

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 2740,3375

Greatest Common Factor of Numerators i.e. GCF of 2740,3375 is 5 .

LCM of Denominators means LCM of 581,9151 as per the given fractions.

LCM of 581,9151 is 5316731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2740,3375

GCF of Fractions 2740/581,3375/9151 is 5/5316731

5 2740, 3375
548, 675

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2740,3375 By Matching Biggest Common Factor Method

Greatest Common Factor of 2740,3375 By Matching Biggest Common Factor Method

Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1,2,4,5,10,20,137,274,548,685,1370,2740

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375

Greatest Common Factor

We found the factors 2740,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 2740,3375 is 5.

Lets's calculate LCM of 581,9151

Given numbers has no common factors except 1. So, there LCM is their product i.e 5316731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5316731

Therefore, the GCF of Fractions 2740/581,3375/9151 is 5/5316731

Least Common Multiple of 581,9151 with GCF Formula

Least Common Multiple of 581,9151 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 581,9151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,9151) = 1

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

GCF(581,9151) x common factors =1 x 1 = 1

LCM(581,9151) = ( 581 × 9151 ) / 1

LCM(581,9151) = 5316731 / 1

LCM(581,9151) = 5316731


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 2740/581, 3375/9151

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 2740/581, 3375/9151?

Answer: GCF of Numerators as per given numbers 2740/581, 3375/9151 is

GCF of Numerators i.e. for 2740,3375 is 5

LCM of denominators i.e. for 581,9151 is 5316731.

Thus, GCF of Fractions is 5/5316731.Finally, GCF of Fractions for 2740/581, 3375/9151 is 5/5316731.