Greatest Common Factor of 4708/369, 3399/5835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4708/369, 3399/5835

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 4708/369,3399/5835

Given fractions are 4708/369,3399/5835

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 4708,3399

Greatest Common Factor of Numerators i.e. GCF of 4708,3399 is 11 .

LCM of Denominators means LCM of 369,5835 as per the given fractions.

LCM of 369,5835 is 717705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4708,3399

GCF of Fractions 4708/369,3399/5835 is 11/717705

11 4708, 3399
428, 309

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4708,3399 By Matching Biggest Common Factor Method

Greatest Common Factor of 4708,3399 By Matching Biggest Common Factor Method

Factors of 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1,2,4,11,22,44,107,214,428,1177,2354,4708

Factors of 3399

List of positive integer factors of 3399 that divides 3399 without a remainder.

1,3,11,33,103,309,1133,3399

Greatest Common Factor

We found the factors 4708,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 4708,3399 is 11.

Lets's calculate LCM of 369,5835

3 369, 5835
123, 1945

∴ So the LCM of the given numbers is 3 x 123 x 1945 = 717705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/717705

Therefore, the GCF of Fractions 4708/369,3399/5835 is 11/717705

Least Common Multiple of 369,5835 with GCF Formula

Least Common Multiple of 369,5835 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 369,5835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,5835) = 3

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

GCF(369,5835) x common factors =3 x 1 = 3

LCM(369,5835) = ( 369 × 5835 ) / 3

LCM(369,5835) = 2153115 / 3

LCM(369,5835) = 717705


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 4708/369, 3399/5835

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 4708/369, 3399/5835?

Answer: GCF of Numerators as per given numbers 4708/369, 3399/5835 is

GCF of Numerators i.e. for 4708,3399 is 11

LCM of denominators i.e. for 369,5835 is 717705.

Thus, GCF of Fractions is 11/717705.Finally, GCF of Fractions for 4708/369, 3399/5835 is 11/717705.