Greatest Common Factor of 420/51, 589/31, 442/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/51, 589/31, 442/412

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 420/51,589/31,442/412

Given fractions are 420/51,589/31,442/412

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 420,589,442

Greatest Common Factor of Numerators i.e. GCF of 420,589,442 is 1 .

LCM of Denominators means LCM of 51,31,412 as per the given fractions.

LCM of 51,31,412 is 651372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,589,442

GCF of Fractions 420/51,589/31,442/412 is 1/651372

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

Greatest Common Factor of 420,589,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,589,442 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 420,589,442 . The biggest common factor number is the GCF number.
So the greatest common factor 420,589,442 is 1.

Lets's calculate LCM of 51,31,412

Given numbers has no common factors except 1. So, there LCM is their product i.e 651372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/651372

Therefore, the GCF of Fractions 420/51,589/31,442/412 is 1/651372

Least Common Multiple of 51,31,412 with GCF Formula

Least Common Multiple of 51,31,412 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 51,31,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,31,412) = 1

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

GCF(51,31,412) x common factors =1 x 1 = 1

LCM(51,31,412) = ( 51 × 31 × 412 ) / 1

LCM(51,31,412) = 651372 / 1

LCM(51,31,412) = 651372


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 420/51, 589/31, 442/412

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 420/51, 589/31, 442/412?

Answer: GCF of Numerators as per given numbers 420/51, 589/31, 442/412 is

GCF of Numerators i.e. for 420,589,442 is 1

LCM of denominators i.e. for 51,31,412 is 651372.

Thus, GCF of Fractions is 1/651372.Finally, GCF of Fractions for 420/51, 589/31, 442/412 is 1/651372.