Greatest Common Factor of 9274/585, 3002/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9274/585, 3002/175

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 9274/585,3002/175

Given fractions are 9274/585,3002/175

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 9274,3002

Greatest Common Factor of Numerators i.e. GCF of 9274,3002 is 2 .

LCM of Denominators means LCM of 585,175 as per the given fractions.

LCM of 585,175 is 20475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9274,3002

GCF of Fractions 9274/585,3002/175 is 2/20475

2 9274, 3002
4637, 1501

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

Greatest Common Factor of 9274,3002 By Matching Biggest Common Factor Method

Greatest Common Factor of 9274,3002 By Matching Biggest Common Factor Method

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1,2,19,38,79,158,1501,3002

Greatest Common Factor

We found the factors 9274,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 9274,3002 is 2.

Lets's calculate LCM of 585,175

5 585, 175
117, 35

∴ So the LCM of the given numbers is 5 x 117 x 35 = 20475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20475

Therefore, the GCF of Fractions 9274/585,3002/175 is 2/20475

Least Common Multiple of 585,175 with GCF Formula

Least Common Multiple of 585,175 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 585,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,175) = 5

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

GCF(585,175) x common factors =5 x 1 = 5

LCM(585,175) = ( 585 × 175 ) / 5

LCM(585,175) = 102375 / 5

LCM(585,175) = 20475


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 9274/585, 3002/175

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 9274/585, 3002/175?

Answer: GCF of Numerators as per given numbers 9274/585, 3002/175 is

GCF of Numerators i.e. for 9274,3002 is 2

LCM of denominators i.e. for 585,175 is 20475.

Thus, GCF of Fractions is 2/20475.Finally, GCF of Fractions for 9274/585, 3002/175 is 2/20475.