Greatest Common Factor of 3723/420, 4308/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3723/420, 4308/513

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 3723/420,4308/513

Given fractions are 3723/420,4308/513

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 3723,4308

Greatest Common Factor of Numerators i.e. GCF of 3723,4308 is 3 .

LCM of Denominators means LCM of 420,513 as per the given fractions.

LCM of 420,513 is 71820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3723,4308

GCF of Fractions 3723/420,4308/513 is 3/71820

3 3723, 4308
1241, 1436

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

Greatest Common Factor of 3723,4308 By Matching Biggest Common Factor Method

Greatest Common Factor of 3723,4308 By Matching Biggest Common Factor Method

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Greatest Common Factor

We found the factors 3723,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 3723,4308 is 3.

Lets's calculate LCM of 420,513

3 420, 513
140, 171

∴ So the LCM of the given numbers is 3 x 140 x 171 = 71820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71820

Therefore, the GCF of Fractions 3723/420,4308/513 is 3/71820

Least Common Multiple of 420,513 with GCF Formula

Least Common Multiple of 420,513 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 420,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,513) = 3

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

GCF(420,513) x common factors =3 x 1 = 3

LCM(420,513) = ( 420 × 513 ) / 3

LCM(420,513) = 215460 / 3

LCM(420,513) = 71820


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 3723/420, 4308/513

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 3723/420, 4308/513?

Answer: GCF of Numerators as per given numbers 3723/420, 4308/513 is

GCF of Numerators i.e. for 3723,4308 is 3

LCM of denominators i.e. for 420,513 is 71820.

Thus, GCF of Fractions is 3/71820.Finally, GCF of Fractions for 3723/420, 4308/513 is 3/71820.