Greatest Common Factor of 600/50, 4825/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 600/50, 4825/339

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 600/50,4825/339

Given fractions are 600/50,4825/339

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 600,4825

Greatest Common Factor of Numerators i.e. GCF of 600,4825 is 25 .

LCM of Denominators means LCM of 50,339 as per the given fractions.

LCM of 50,339 is 16950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,4825

GCF of Fractions 600/50,4825/339 is 25/16950

5 600, 4825
5 120, 965
24, 193

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 600,4825 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,4825 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1,5,25,193,965,4825

Greatest Common Factor

We found the factors 600,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 600,4825 is 25.


Lets's calculate LCM of 50,339

Given numbers has no common factors except 1. So, there LCM is their product i.e 16950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/16950

Therefore, the GCF of Fractions 600/50,4825/339 is 25/16950

Least Common Multiple of 50,339 with GCF Formula

Least Common Multiple of 50,339 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 50,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,339) = 1

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

GCF(50,339) x common factors =1 x 1 = 1

LCM(50,339) = ( 50 × 339 ) / 1

LCM(50,339) = 16950 / 1

LCM(50,339) = 16950


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 600/50, 4825/339

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 600/50, 4825/339?

Answer: GCF of Numerators as per given numbers 600/50, 4825/339 is

GCF of Numerators i.e. for 600,4825 is 25

LCM of denominators i.e. for 50,339 is 16950.

Thus, GCF of Fractions is 25/16950.Finally, GCF of Fractions for 600/50, 4825/339 is 25/16950.