Greatest Common Factor of 1679/303, 8050/4556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1679/303, 8050/4556

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 1679/303,8050/4556

Given fractions are 1679/303,8050/4556

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 1679,8050

Greatest Common Factor of Numerators i.e. GCF of 1679,8050 is 23 .

LCM of Denominators means LCM of 303,4556 as per the given fractions.

LCM of 303,4556 is 1380468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1679,8050

GCF of Fractions 1679/303,8050/4556 is 23/1380468

23 1679, 8050
73, 350

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 1679,8050 By Matching Biggest Common Factor Method

Greatest Common Factor of 1679,8050 By Matching Biggest Common Factor Method

Factors of 1679

List of positive integer factors of 1679 that divides 1679 without a remainder.

1,23,73,1679

Factors of 8050

List of positive integer factors of 8050 that divides 8050 without a remainder.

1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050

Greatest Common Factor

We found the factors 1679,8050 . The biggest common factor number is the GCF number.
So the greatest common factor 1679,8050 is 23.

Lets's calculate LCM of 303,4556

Given numbers has no common factors except 1. So, there LCM is their product i.e 1380468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1380468

Therefore, the GCF of Fractions 1679/303,8050/4556 is 23/1380468

Least Common Multiple of 303,4556 with GCF Formula

Least Common Multiple of 303,4556 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 303,4556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,4556) = 1

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

GCF(303,4556) x common factors =1 x 1 = 1

LCM(303,4556) = ( 303 × 4556 ) / 1

LCM(303,4556) = 1380468 / 1

LCM(303,4556) = 1380468


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 1679/303, 8050/4556

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 1679/303, 8050/4556?

Answer: GCF of Numerators as per given numbers 1679/303, 8050/4556 is

GCF of Numerators i.e. for 1679,8050 is 23

LCM of denominators i.e. for 303,4556 is 1380468.

Thus, GCF of Fractions is 23/1380468.Finally, GCF of Fractions for 1679/303, 8050/4556 is 23/1380468.