Greatest Common Factor of 210/45, 165/98, 365/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/45, 165/98, 365/644

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 210/45,165/98,365/644

Given fractions are 210/45,165/98,365/644

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 210,165,365

Greatest Common Factor of Numerators i.e. GCF of 210,165,365 is 5 .

LCM of Denominators means LCM of 45,98,644 as per the given fractions.

LCM of 45,98,644 is 202860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,165,365

GCF of Fractions 210/45,165/98,365/644 is 5/202860

5 210, 165, 365
42, 33, 73

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

Greatest Common Factor of 210,165,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,165,365 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 210,165,365 . The biggest common factor number is the GCF number.
So the greatest common factor 210,165,365 is 5.

Lets's calculate LCM of 45,98,644

2 45, 98, 644
7 45, 49, 322
45, 7, 46

∴ So the LCM of the given numbers is 2 x 7 x 45 x 7 x 46 = 202860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/202860

Therefore, the GCF of Fractions 210/45,165/98,365/644 is 5/202860

Least Common Multiple of 45,98,644 with GCF Formula

Least Common Multiple of 45,98,644 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 45,98,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,98,644) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(45,98,644) x common factors =1 x 14 = 14

LCM(45,98,644) = ( 45 × 98 × 644 ) / 14

LCM(45,98,644) = 2840040 / 14

LCM(45,98,644) = 202860


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 210/45, 165/98, 365/644

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 210/45, 165/98, 365/644?

Answer: GCF of Numerators as per given numbers 210/45, 165/98, 365/644 is

GCF of Numerators i.e. for 210,165,365 is 5

LCM of denominators i.e. for 45,98,644 is 202860.

Thus, GCF of Fractions is 5/202860.Finally, GCF of Fractions for 210/45, 165/98, 365/644 is 5/202860.