Greatest Common Factor of 7005/150, 9158/9335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7005/150, 9158/9335

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 7005/150,9158/9335

Given fractions are 7005/150,9158/9335

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 7005,9158

Greatest Common Factor of Numerators i.e. GCF of 7005,9158 is 1 .

LCM of Denominators means LCM of 150,9335 as per the given fractions.

LCM of 150,9335 is 280050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7005,9158

GCF of Fractions 7005/150,9158/9335 is 1/280050

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

Greatest Common Factor of 7005,9158 By Matching Biggest Common Factor Method

Greatest Common Factor of 7005,9158 By Matching Biggest Common Factor Method

Factors of 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1,3,5,15,467,1401,2335,7005

Factors of 9158

List of positive integer factors of 9158 that divides 9158 without a remainder.

1,2,19,38,241,482,4579,9158

Greatest Common Factor

We found the factors 7005,9158 . The biggest common factor number is the GCF number.
So the greatest common factor 7005,9158 is 1.

Lets's calculate LCM of 150,9335

5 150, 9335
30, 1867

∴ So the LCM of the given numbers is 5 x 30 x 1867 = 280050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280050

Therefore, the GCF of Fractions 7005/150,9158/9335 is 1/280050

Least Common Multiple of 150,9335 with GCF Formula

Least Common Multiple of 150,9335 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 150,9335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,9335) = 5

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

GCF(150,9335) x common factors =5 x 1 = 5

LCM(150,9335) = ( 150 × 9335 ) / 5

LCM(150,9335) = 1400250 / 5

LCM(150,9335) = 280050


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 7005/150, 9158/9335

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 7005/150, 9158/9335?

Answer: GCF of Numerators as per given numbers 7005/150, 9158/9335 is

GCF of Numerators i.e. for 7005,9158 is 1

LCM of denominators i.e. for 150,9335 is 280050.

Thus, GCF of Fractions is 1/280050.Finally, GCF of Fractions for 7005/150, 9158/9335 is 1/280050.