Greatest Common Factor of 508/36, 843/68, 840/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 508/36, 843/68, 840/59

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 508/36,843/68,840/59

Given fractions are 508/36,843/68,840/59

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 508,843,840

Greatest Common Factor of Numerators i.e. GCF of 508,843,840 is 1 .

LCM of Denominators means LCM of 36,68,59 as per the given fractions.

LCM of 36,68,59 is 36108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 508,843,840

GCF of Fractions 508/36,843/68,840/59 is 1/36108

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

Greatest Common Factor of 508,843,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,843,840 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 508,843,840 . The biggest common factor number is the GCF number.
So the greatest common factor 508,843,840 is 1.

Lets's calculate LCM of 36,68,59

2 36, 68, 59
2 18, 34, 59
9, 17, 59

∴ So the LCM of the given numbers is 2 x 2 x 9 x 17 x 59 = 36108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36108

Therefore, the GCF of Fractions 508/36,843/68,840/59 is 1/36108

Least Common Multiple of 36,68,59 with GCF Formula

Least Common Multiple of 36,68,59 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 36,68,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,68,59) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,68,59) x common factors =1 x 4 = 4

LCM(36,68,59) = ( 36 × 68 × 59 ) / 4

LCM(36,68,59) = 144432 / 4

LCM(36,68,59) = 36108


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 508/36, 843/68, 840/59

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 508/36, 843/68, 840/59?

Answer: GCF of Numerators as per given numbers 508/36, 843/68, 840/59 is

GCF of Numerators i.e. for 508,843,840 is 1

LCM of denominators i.e. for 36,68,59 is 36108.

Thus, GCF of Fractions is 1/36108.Finally, GCF of Fractions for 508/36, 843/68, 840/59 is 1/36108.