Greatest Common Factor of 65/189, 96/890, 210/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/189, 96/890, 210/913

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 65/189,96/890,210/913

Given fractions are 65/189,96/890,210/913

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 65,96,210

Greatest Common Factor of Numerators i.e. GCF of 65,96,210 is 1 .

LCM of Denominators means LCM of 189,890,913 as per the given fractions.

LCM of 189,890,913 is 153575730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,96,210

GCF of Fractions 65/189,96/890,210/913 is 1/153575730

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

Greatest Common Factor of 65,96,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,96,210 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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

Greatest Common Factor

We found the factors 65,96,210 . The biggest common factor number is the GCF number.
So the greatest common factor 65,96,210 is 1.

Lets's calculate LCM of 189,890,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 153575730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153575730

Therefore, the GCF of Fractions 65/189,96/890,210/913 is 1/153575730

Least Common Multiple of 189,890,913 with GCF Formula

Least Common Multiple of 189,890,913 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 189,890,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,890,913) = 1

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

GCF(189,890,913) x common factors =1 x 1 = 1

LCM(189,890,913) = ( 189 × 890 × 913 ) / 1

LCM(189,890,913) = 153575730 / 1

LCM(189,890,913) = 153575730


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 65/189, 96/890, 210/913

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 65/189, 96/890, 210/913?

Answer: GCF of Numerators as per given numbers 65/189, 96/890, 210/913 is

GCF of Numerators i.e. for 65,96,210 is 1

LCM of denominators i.e. for 189,890,913 is 153575730.

Thus, GCF of Fractions is 1/153575730.Finally, GCF of Fractions for 65/189, 96/890, 210/913 is 1/153575730.