Greatest Common Factor of 5950/303, 4160/9917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5950/303, 4160/9917

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 5950/303,4160/9917

Given fractions are 5950/303,4160/9917

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 5950,4160

Greatest Common Factor of Numerators i.e. GCF of 5950,4160 is 10 .

LCM of Denominators means LCM of 303,9917 as per the given fractions.

LCM of 303,9917 is 3004851 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5950,4160

GCF of Fractions 5950/303,4160/9917 is 10/3004851

2 5950, 4160
5 2975, 2080
595, 416

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5950,4160 By Matching Biggest Common Factor Method

Greatest Common Factor of 5950,4160 By Matching Biggest Common Factor Method

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Greatest Common Factor

We found the factors 5950,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,4160 is 10.

Lets's calculate LCM of 303,9917

Given numbers has no common factors except 1. So, there LCM is their product i.e 3004851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3004851

Therefore, the GCF of Fractions 5950/303,4160/9917 is 10/3004851

Least Common Multiple of 303,9917 with GCF Formula

Least Common Multiple of 303,9917 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 303,9917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,9917) = 1

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

GCF(303,9917) x common factors =1 x 1 = 1

LCM(303,9917) = ( 303 × 9917 ) / 1

LCM(303,9917) = 3004851 / 1

LCM(303,9917) = 3004851


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 5950/303, 4160/9917

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 5950/303, 4160/9917?

Answer: GCF of Numerators as per given numbers 5950/303, 4160/9917 is

GCF of Numerators i.e. for 5950,4160 is 10

LCM of denominators i.e. for 303,9917 is 3004851.

Thus, GCF of Fractions is 10/3004851.Finally, GCF of Fractions for 5950/303, 4160/9917 is 10/3004851.