Greatest Common Factor of 213/8320, 109/5983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/8320, 109/5983

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 213/8320,109/5983

Given fractions are 213/8320,109/5983

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 213,109

Greatest Common Factor of Numerators i.e. GCF of 213,109 is 1 .

LCM of Denominators means LCM of 8320,5983 as per the given fractions.

LCM of 8320,5983 is 49778560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,109

GCF of Fractions 213/8320,109/5983 is 1/49778560

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

Greatest Common Factor of 213,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,109 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 213,109 . The biggest common factor number is the GCF number.
So the greatest common factor 213,109 is 1.

Lets's calculate LCM of 8320,5983

Given numbers has no common factors except 1. So, there LCM is their product i.e 49778560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49778560

Therefore, the GCF of Fractions 213/8320,109/5983 is 1/49778560

Least Common Multiple of 8320,5983 with GCF Formula

Least Common Multiple of 8320,5983 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 8320,5983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8320,5983) = 1

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

GCF(8320,5983) x common factors =1 x 1 = 1

LCM(8320,5983) = ( 8320 × 5983 ) / 1

LCM(8320,5983) = 49778560 / 1

LCM(8320,5983) = 49778560


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 213/8320, 109/5983

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 213/8320, 109/5983?

Answer: GCF of Numerators as per given numbers 213/8320, 109/5983 is

GCF of Numerators i.e. for 213,109 is 1

LCM of denominators i.e. for 8320,5983 is 49778560.

Thus, GCF of Fractions is 1/49778560.Finally, GCF of Fractions for 213/8320, 109/5983 is 1/49778560.