Greatest Common Factor of 28/741, 420/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/741, 420/391

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 28/741,420/391

Given fractions are 28/741,420/391

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 28,420

Greatest Common Factor of Numerators i.e. GCF of 28,420 is 28 .

LCM of Denominators means LCM of 741,391 as per the given fractions.

LCM of 741,391 is 289731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,420

GCF of Fractions 28/741,420/391 is 28/289731

2 28, 420
2 14, 210
7 7, 105
1, 15

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 28,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,420 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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

Greatest Common Factor

We found the factors 28,420 . The biggest common factor number is the GCF number.
So the greatest common factor 28,420 is 28.

Lets's calculate LCM of 741,391

Given numbers has no common factors except 1. So, there LCM is their product i.e 289731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/289731

Therefore, the GCF of Fractions 28/741,420/391 is 28/289731

Least Common Multiple of 741,391 with GCF Formula

Least Common Multiple of 741,391 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 741,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,391) = 1

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

GCF(741,391) x common factors =1 x 1 = 1

LCM(741,391) = ( 741 × 391 ) / 1

LCM(741,391) = 289731 / 1

LCM(741,391) = 289731


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 28/741, 420/391

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 28/741, 420/391?

Answer: GCF of Numerators as per given numbers 28/741, 420/391 is

GCF of Numerators i.e. for 28,420 is 28

LCM of denominators i.e. for 741,391 is 289731.

Thus, GCF of Fractions is 28/289731.Finally, GCF of Fractions for 28/741, 420/391 is 28/289731.