Greatest Common Factor of 3620/808, 4389/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3620/808, 4389/576

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 3620/808,4389/576

Given fractions are 3620/808,4389/576

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 3620,4389

Greatest Common Factor of Numerators i.e. GCF of 3620,4389 is 1 .

LCM of Denominators means LCM of 808,576 as per the given fractions.

LCM of 808,576 is 58176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3620,4389

GCF of Fractions 3620/808,4389/576 is 1/58176

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

Greatest Common Factor of 3620,4389 By Matching Biggest Common Factor Method

Greatest Common Factor of 3620,4389 By Matching Biggest Common Factor Method

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1,2,4,5,10,20,181,362,724,905,1810,3620

Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389

Greatest Common Factor

We found the factors 3620,4389 . The biggest common factor number is the GCF number.
So the greatest common factor 3620,4389 is 1.

Lets's calculate LCM of 808,576

2 808, 576
2 404, 288
2 202, 144
101, 72

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 72 = 58176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58176

Therefore, the GCF of Fractions 3620/808,4389/576 is 1/58176

Least Common Multiple of 808,576 with GCF Formula

Least Common Multiple of 808,576 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 808,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,576) = 8

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

GCF(808,576) x common factors =8 x 1 = 8

LCM(808,576) = ( 808 × 576 ) / 8

LCM(808,576) = 465408 / 8

LCM(808,576) = 58176


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 3620/808, 4389/576

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 3620/808, 4389/576?

Answer: GCF of Numerators as per given numbers 3620/808, 4389/576 is

GCF of Numerators i.e. for 3620,4389 is 1

LCM of denominators i.e. for 808,576 is 58176.

Thus, GCF of Fractions is 1/58176.Finally, GCF of Fractions for 3620/808, 4389/576 is 1/58176.