Greatest Common Factor of 4050/49, 5733/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4050/49, 5733/581

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 4050/49,5733/581

Given fractions are 4050/49,5733/581

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 4050,5733

Greatest Common Factor of Numerators i.e. GCF of 4050,5733 is 9 .

LCM of Denominators means LCM of 49,581 as per the given fractions.

LCM of 49,581 is 4067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4050,5733

GCF of Fractions 4050/49,5733/581 is 9/4067

3 4050, 5733
3 1350, 1911
450, 637

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4050,5733 By Matching Biggest Common Factor Method

Greatest Common Factor of 4050,5733 By Matching Biggest Common Factor Method

Factors of 4050

List of positive integer factors of 4050 that divides 4050 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733

Greatest Common Factor

We found the factors 4050,5733 . The biggest common factor number is the GCF number.
So the greatest common factor 4050,5733 is 9.

Lets's calculate LCM of 49,581

7 49, 581
7, 83

∴ So the LCM of the given numbers is 7 x 7 x 83 = 4067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4067

Therefore, the GCF of Fractions 4050/49,5733/581 is 9/4067

Least Common Multiple of 49,581 with GCF Formula

Least Common Multiple of 49,581 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 49,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,581) = 7

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

GCF(49,581) x common factors =7 x 1 = 7

LCM(49,581) = ( 49 × 581 ) / 7

LCM(49,581) = 28469 / 7

LCM(49,581) = 4067


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 4050/49, 5733/581

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 4050/49, 5733/581?

Answer: GCF of Numerators as per given numbers 4050/49, 5733/581 is

GCF of Numerators i.e. for 4050,5733 is 9

LCM of denominators i.e. for 49,581 is 4067.

Thus, GCF of Fractions is 9/4067.Finally, GCF of Fractions for 4050/49, 5733/581 is 9/4067.