Greatest Common Factor of 846/17, 240/84, 602/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 846/17, 240/84, 602/405

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 846/17,240/84,602/405

Given fractions are 846/17,240/84,602/405

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 846,240,602

Greatest Common Factor of Numerators i.e. GCF of 846,240,602 is 2 .

LCM of Denominators means LCM of 17,84,405 as per the given fractions.

LCM of 17,84,405 is 192780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 846,240,602

GCF of Fractions 846/17,240/84,602/405 is 2/192780

2 846, 240, 602
423, 120, 301

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 846,240,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,240,602 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 846,240,602 . The biggest common factor number is the GCF number.
So the greatest common factor 846,240,602 is 2.

Lets's calculate LCM of 17,84,405

3 17, 84, 405
17, 28, 135

∴ So the LCM of the given numbers is 3 x 17 x 28 x 135 = 192780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192780

Therefore, the GCF of Fractions 846/17,240/84,602/405 is 2/192780

Least Common Multiple of 17,84,405 with GCF Formula

Least Common Multiple of 17,84,405 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 17,84,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,84,405) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(17,84,405) x common factors =1 x 3 = 3

LCM(17,84,405) = ( 17 × 84 × 405 ) / 3

LCM(17,84,405) = 578340 / 3

LCM(17,84,405) = 192780


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 846/17, 240/84, 602/405

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 846/17, 240/84, 602/405?

Answer: GCF of Numerators as per given numbers 846/17, 240/84, 602/405 is

GCF of Numerators i.e. for 846,240,602 is 2

LCM of denominators i.e. for 17,84,405 is 192780.

Thus, GCF of Fractions is 2/192780.Finally, GCF of Fractions for 846/17, 240/84, 602/405 is 2/192780.