Greatest Common Factor of 5899/52, 4994/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5899/52, 4994/821

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 5899/52,4994/821

Given fractions are 5899/52,4994/821

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 5899,4994

Greatest Common Factor of Numerators i.e. GCF of 5899,4994 is 1 .

LCM of Denominators means LCM of 52,821 as per the given fractions.

LCM of 52,821 is 42692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5899,4994

GCF of Fractions 5899/52,4994/821 is 1/42692

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

Greatest Common Factor of 5899,4994 By Matching Biggest Common Factor Method

Greatest Common Factor of 5899,4994 By Matching Biggest Common Factor Method

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1,2,11,22,227,454,2497,4994

Greatest Common Factor

We found the factors 5899,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 5899,4994 is 1.

Lets's calculate LCM of 52,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 42692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42692

Therefore, the GCF of Fractions 5899/52,4994/821 is 1/42692

Least Common Multiple of 52,821 with GCF Formula

Least Common Multiple of 52,821 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 52,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,821) = 1

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

GCF(52,821) x common factors =1 x 1 = 1

LCM(52,821) = ( 52 × 821 ) / 1

LCM(52,821) = 42692 / 1

LCM(52,821) = 42692


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 5899/52, 4994/821

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 5899/52, 4994/821?

Answer: GCF of Numerators as per given numbers 5899/52, 4994/821 is

GCF of Numerators i.e. for 5899,4994 is 1

LCM of denominators i.e. for 52,821 is 42692.

Thus, GCF of Fractions is 1/42692.Finally, GCF of Fractions for 5899/52, 4994/821 is 1/42692.