Greatest Common Factor of 3595/234, 8505/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3595/234, 8505/610

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 3595/234,8505/610

Given fractions are 3595/234,8505/610

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 3595,8505

Greatest Common Factor of Numerators i.e. GCF of 3595,8505 is 5 .

LCM of Denominators means LCM of 234,610 as per the given fractions.

LCM of 234,610 is 71370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3595,8505

GCF of Fractions 3595/234,8505/610 is 5/71370

5 3595, 8505
719, 1701

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

Greatest Common Factor of 3595,8505 By Matching Biggest Common Factor Method

Greatest Common Factor of 3595,8505 By Matching Biggest Common Factor Method

Factors of 3595

List of positive integer factors of 3595 that divides 3595 without a remainder.

1,5,719,3595

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Greatest Common Factor

We found the factors 3595,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 3595,8505 is 5.

Lets's calculate LCM of 234,610

2 234, 610
117, 305

∴ So the LCM of the given numbers is 2 x 117 x 305 = 71370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/71370

Therefore, the GCF of Fractions 3595/234,8505/610 is 5/71370

Least Common Multiple of 234,610 with GCF Formula

Least Common Multiple of 234,610 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 234,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,610) = 2

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

GCF(234,610) x common factors =2 x 1 = 2

LCM(234,610) = ( 234 × 610 ) / 2

LCM(234,610) = 142740 / 2

LCM(234,610) = 71370


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 3595/234, 8505/610

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 3595/234, 8505/610?

Answer: GCF of Numerators as per given numbers 3595/234, 8505/610 is

GCF of Numerators i.e. for 3595,8505 is 5

LCM of denominators i.e. for 234,610 is 71370.

Thus, GCF of Fractions is 5/71370.Finally, GCF of Fractions for 3595/234, 8505/610 is 5/71370.