Greatest Common Factor of 840/19, 795/27, 301/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 840/19, 795/27, 301/54

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 840/19,795/27,301/54

Given fractions are 840/19,795/27,301/54

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 840,795,301

Greatest Common Factor of Numerators i.e. GCF of 840,795,301 is 1 .

LCM of Denominators means LCM of 19,27,54 as per the given fractions.

LCM of 19,27,54 is 1026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 840,795,301

GCF of Fractions 840/19,795/27,301/54 is 1/1026

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

Greatest Common Factor of 840,795,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,795,301 By Matching Biggest Common Factor Method

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

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 840,795,301 . The biggest common factor number is the GCF number.
So the greatest common factor 840,795,301 is 1.

Lets's calculate LCM of 19,27,54

3 19, 27, 54
3 19, 9, 18
3 19, 3, 6
19, 1, 2

∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 1 x 2 = 1026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1026

Therefore, the GCF of Fractions 840/19,795/27,301/54 is 1/1026

Least Common Multiple of 19,27,54 with GCF Formula

Least Common Multiple of 19,27,54 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 19,27,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,27,54) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(19,27,54) x common factors =1 x 27 = 27

LCM(19,27,54) = ( 19 × 27 × 54 ) / 27

LCM(19,27,54) = 27702 / 27

LCM(19,27,54) = 1026


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 840/19, 795/27, 301/54

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 840/19, 795/27, 301/54?

Answer: GCF of Numerators as per given numbers 840/19, 795/27, 301/54 is

GCF of Numerators i.e. for 840,795,301 is 1

LCM of denominators i.e. for 19,27,54 is 1026.

Thus, GCF of Fractions is 1/1026.Finally, GCF of Fractions for 840/19, 795/27, 301/54 is 1/1026.