Greatest Common Factor of 7394/152, 8280/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7394/152, 8280/157

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 7394/152,8280/157

Given fractions are 7394/152,8280/157

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 7394,8280

Greatest Common Factor of Numerators i.e. GCF of 7394,8280 is 2 .

LCM of Denominators means LCM of 152,157 as per the given fractions.

LCM of 152,157 is 23864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7394,8280

GCF of Fractions 7394/152,8280/157 is 2/23864

2 7394, 8280
3697, 4140

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

Greatest Common Factor of 7394,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 7394,8280 By Matching Biggest Common Factor Method

Factors of 7394

List of positive integer factors of 7394 that divides 7394 without a remainder.

1,2,3697,7394

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Greatest Common Factor

We found the factors 7394,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 7394,8280 is 2.

Lets's calculate LCM of 152,157

Given numbers has no common factors except 1. So, there LCM is their product i.e 23864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23864

Therefore, the GCF of Fractions 7394/152,8280/157 is 2/23864

Least Common Multiple of 152,157 with GCF Formula

Least Common Multiple of 152,157 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 152,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,157) = 1

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

GCF(152,157) x common factors =1 x 1 = 1

LCM(152,157) = ( 152 × 157 ) / 1

LCM(152,157) = 23864 / 1

LCM(152,157) = 23864


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 7394/152, 8280/157

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 7394/152, 8280/157?

Answer: GCF of Numerators as per given numbers 7394/152, 8280/157 is

GCF of Numerators i.e. for 7394,8280 is 2

LCM of denominators i.e. for 152,157 is 23864.

Thus, GCF of Fractions is 2/23864.Finally, GCF of Fractions for 7394/152, 8280/157 is 2/23864.