Greatest Common Factor of 899/47, 5983/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/47, 5983/115

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 899/47,5983/115

Given fractions are 899/47,5983/115

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 899,5983

Greatest Common Factor of Numerators i.e. GCF of 899,5983 is 31 .

LCM of Denominators means LCM of 47,115 as per the given fractions.

LCM of 47,115 is 5405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,5983

GCF of Fractions 899/47,5983/115 is 31/5405

31 899, 5983
29, 193

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 899,5983 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,5983 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Greatest Common Factor

We found the factors 899,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 899,5983 is 31.

Lets's calculate LCM of 47,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 5405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/5405

Therefore, the GCF of Fractions 899/47,5983/115 is 31/5405

Least Common Multiple of 47,115 with GCF Formula

Least Common Multiple of 47,115 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 47,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,115) = 1

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

GCF(47,115) x common factors =1 x 1 = 1

LCM(47,115) = ( 47 × 115 ) / 1

LCM(47,115) = 5405 / 1

LCM(47,115) = 5405


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 899/47, 5983/115

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 899/47, 5983/115?

Answer: GCF of Numerators as per given numbers 899/47, 5983/115 is

GCF of Numerators i.e. for 899,5983 is 31

LCM of denominators i.e. for 47,115 is 5405.

Thus, GCF of Fractions is 31/5405.Finally, GCF of Fractions for 899/47, 5983/115 is 31/5405.