Greatest Common Factor of 3585/207, 7150/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3585/207, 7150/230

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 3585/207,7150/230

Given fractions are 3585/207,7150/230

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 3585,7150

Greatest Common Factor of Numerators i.e. GCF of 3585,7150 is 5 .

LCM of Denominators means LCM of 207,230 as per the given fractions.

LCM of 207,230 is 2070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3585,7150

GCF of Fractions 3585/207,7150/230 is 5/2070

5 3585, 7150
717, 1430

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

Greatest Common Factor of 3585,7150 By Matching Biggest Common Factor Method

Greatest Common Factor of 3585,7150 By Matching Biggest Common Factor Method

Factors of 3585

List of positive integer factors of 3585 that divides 3585 without a remainder.

1,3,5,15,239,717,1195,3585

Factors of 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150

Greatest Common Factor

We found the factors 3585,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,7150 is 5.

Lets's calculate LCM of 207,230

23 207, 230
9, 10

∴ So the LCM of the given numbers is 23 x 9 x 10 = 2070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2070

Therefore, the GCF of Fractions 3585/207,7150/230 is 5/2070

Least Common Multiple of 207,230 with GCF Formula

Least Common Multiple of 207,230 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 207,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,230) = 23

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

GCF(207,230) x common factors =23 x 1 = 23

LCM(207,230) = ( 207 × 230 ) / 23

LCM(207,230) = 47610 / 23

LCM(207,230) = 2070


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 3585/207, 7150/230

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 3585/207, 7150/230?

Answer: GCF of Numerators as per given numbers 3585/207, 7150/230 is

GCF of Numerators i.e. for 3585,7150 is 5

LCM of denominators i.e. for 207,230 is 2070.

Thus, GCF of Fractions is 5/2070.Finally, GCF of Fractions for 3585/207, 7150/230 is 5/2070.