Greatest Common Factor of 9340/587, 7114/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9340/587, 7114/151

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 9340/587,7114/151

Given fractions are 9340/587,7114/151

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 9340,7114

Greatest Common Factor of Numerators i.e. GCF of 9340,7114 is 2 .

LCM of Denominators means LCM of 587,151 as per the given fractions.

LCM of 587,151 is 88637 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9340,7114

GCF of Fractions 9340/587,7114/151 is 2/88637

2 9340, 7114
4670, 3557

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9340,7114 By Matching Biggest Common Factor Method

Greatest Common Factor of 9340,7114 By Matching Biggest Common Factor Method

Factors of 9340

List of positive integer factors of 9340 that divides 9340 without a remainder.

1,2,4,5,10,20,467,934,1868,2335,4670,9340

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1,2,3557,7114

Greatest Common Factor

We found the factors 9340,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 9340,7114 is 2.

Lets's calculate LCM of 587,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 88637

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88637

Therefore, the GCF of Fractions 9340/587,7114/151 is 2/88637

Least Common Multiple of 587,151 with GCF Formula

Least Common Multiple of 587,151 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 587,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,151) = 1

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

GCF(587,151) x common factors =1 x 1 = 1

LCM(587,151) = ( 587 × 151 ) / 1

LCM(587,151) = 88637 / 1

LCM(587,151) = 88637


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 9340/587, 7114/151

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 9340/587, 7114/151?

Answer: GCF of Numerators as per given numbers 9340/587, 7114/151 is

GCF of Numerators i.e. for 9340,7114 is 2

LCM of denominators i.e. for 587,151 is 88637.

Thus, GCF of Fractions is 2/88637.Finally, GCF of Fractions for 9340/587, 7114/151 is 2/88637.