Greatest Common Factor of 5989/47, 5115/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5989/47, 5115/669

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 5989/47,5115/669

Given fractions are 5989/47,5115/669

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 5989,5115

Greatest Common Factor of Numerators i.e. GCF of 5989,5115 is 1 .

LCM of Denominators means LCM of 47,669 as per the given fractions.

LCM of 47,669 is 31443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5989,5115

GCF of Fractions 5989/47,5115/669 is 1/31443

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5989,5115 By Matching Biggest Common Factor Method

Greatest Common Factor of 5989,5115 By Matching Biggest Common Factor Method

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Factors of 5115

List of positive integer factors of 5115 that divides 5115 without a remainder.

1,3,5,11,15,31,33,55,93,155,165,341,465,1023,1705,5115

Greatest Common Factor

We found the factors 5989,5115 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,5115 is 1.

Lets's calculate LCM of 47,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 31443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31443

Therefore, the GCF of Fractions 5989/47,5115/669 is 1/31443

Least Common Multiple of 47,669 with GCF Formula

Least Common Multiple of 47,669 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 47,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,669) = 1

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

GCF(47,669) x common factors =1 x 1 = 1

LCM(47,669) = ( 47 × 669 ) / 1

LCM(47,669) = 31443 / 1

LCM(47,669) = 31443


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 5989/47, 5115/669

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 5989/47, 5115/669?

Answer: GCF of Numerators as per given numbers 5989/47, 5115/669 is

GCF of Numerators i.e. for 5989,5115 is 1

LCM of denominators i.e. for 47,669 is 31443.

Thus, GCF of Fractions is 1/31443.Finally, GCF of Fractions for 5989/47, 5115/669 is 1/31443.