Greatest Common Factor of 1405/865, 2645/4210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1405/865, 2645/4210

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 1405/865,2645/4210

Given fractions are 1405/865,2645/4210

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 1405,2645

Greatest Common Factor of Numerators i.e. GCF of 1405,2645 is 5 .

LCM of Denominators means LCM of 865,4210 as per the given fractions.

LCM of 865,4210 is 728330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1405,2645

GCF of Fractions 1405/865,2645/4210 is 5/728330

5 1405, 2645
281, 529

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

Greatest Common Factor of 1405,2645 By Matching Biggest Common Factor Method

Greatest Common Factor of 1405,2645 By Matching Biggest Common Factor Method

Factors of 1405

List of positive integer factors of 1405 that divides 1405 without a remainder.

1,5,281,1405

Factors of 2645

List of positive integer factors of 2645 that divides 2645 without a remainder.

1,5,23,115,529,2645

Greatest Common Factor

We found the factors 1405,2645 . The biggest common factor number is the GCF number.
So the greatest common factor 1405,2645 is 5.

Lets's calculate LCM of 865,4210

5 865, 4210
173, 842

∴ So the LCM of the given numbers is 5 x 173 x 842 = 728330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/728330

Therefore, the GCF of Fractions 1405/865,2645/4210 is 5/728330

Least Common Multiple of 865,4210 with GCF Formula

Least Common Multiple of 865,4210 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 865,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,4210) = 5

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

GCF(865,4210) x common factors =5 x 1 = 5

LCM(865,4210) = ( 865 × 4210 ) / 5

LCM(865,4210) = 3641650 / 5

LCM(865,4210) = 728330


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 1405/865, 2645/4210

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 1405/865, 2645/4210?

Answer: GCF of Numerators as per given numbers 1405/865, 2645/4210 is

GCF of Numerators i.e. for 1405,2645 is 5

LCM of denominators i.e. for 865,4210 is 728330.

Thus, GCF of Fractions is 5/728330.Finally, GCF of Fractions for 1405/865, 2645/4210 is 5/728330.