Greatest Common Factor of 4833/50, 4584/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4833/50, 4584/172

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 4833/50,4584/172

Given fractions are 4833/50,4584/172

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 4833,4584

Greatest Common Factor of Numerators i.e. GCF of 4833,4584 is 3 .

LCM of Denominators means LCM of 50,172 as per the given fractions.

LCM of 50,172 is 4300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4833,4584

GCF of Fractions 4833/50,4584/172 is 3/4300

3 4833, 4584
1611, 1528

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

Greatest Common Factor of 4833,4584 By Matching Biggest Common Factor Method

Greatest Common Factor of 4833,4584 By Matching Biggest Common Factor Method

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584

Greatest Common Factor

We found the factors 4833,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 4833,4584 is 3.

Lets's calculate LCM of 50,172

2 50, 172
25, 86

∴ So the LCM of the given numbers is 2 x 25 x 86 = 4300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4300

Therefore, the GCF of Fractions 4833/50,4584/172 is 3/4300

Least Common Multiple of 50,172 with GCF Formula

Least Common Multiple of 50,172 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 50,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,172) = 2

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

GCF(50,172) x common factors =2 x 1 = 2

LCM(50,172) = ( 50 × 172 ) / 2

LCM(50,172) = 8600 / 2

LCM(50,172) = 4300


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 4833/50, 4584/172

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 4833/50, 4584/172?

Answer: GCF of Numerators as per given numbers 4833/50, 4584/172 is

GCF of Numerators i.e. for 4833,4584 is 3

LCM of denominators i.e. for 50,172 is 4300.

Thus, GCF of Fractions is 3/4300.Finally, GCF of Fractions for 4833/50, 4584/172 is 3/4300.