Greatest Common Factor of 420/41, 747/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/41, 747/437

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 420/41,747/437

Given fractions are 420/41,747/437

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 420,747

Greatest Common Factor of Numerators i.e. GCF of 420,747 is 3 .

LCM of Denominators means LCM of 41,437 as per the given fractions.

LCM of 41,437 is 17917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,747

GCF of Fractions 420/41,747/437 is 3/17917

3 420, 747
140, 249

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 420,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,747 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 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 420,747 . The biggest common factor number is the GCF number.
So the greatest common factor 420,747 is 3.

Lets's calculate LCM of 41,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 17917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17917

Therefore, the GCF of Fractions 420/41,747/437 is 3/17917

Least Common Multiple of 41,437 with GCF Formula

Least Common Multiple of 41,437 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 41,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,437) = 1

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

GCF(41,437) x common factors =1 x 1 = 1

LCM(41,437) = ( 41 × 437 ) / 1

LCM(41,437) = 17917 / 1

LCM(41,437) = 17917


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 420/41, 747/437

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 420/41, 747/437?

Answer: GCF of Numerators as per given numbers 420/41, 747/437 is

GCF of Numerators i.e. for 420,747 is 3

LCM of denominators i.e. for 41,437 is 17917.

Thus, GCF of Fractions is 3/17917.Finally, GCF of Fractions for 420/41, 747/437 is 3/17917.