Greatest Common Factor of 43/516, 817/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/516, 817/133

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 43/516,817/133

Given fractions are 43/516,817/133

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 43,817

Greatest Common Factor of Numerators i.e. GCF of 43,817 is 43 .

LCM of Denominators means LCM of 516,133 as per the given fractions.

LCM of 516,133 is 68628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,817

GCF of Fractions 43/516,817/133 is 43/68628

43 43, 817
1, 19

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 43,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,817 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 43,817 . The biggest common factor number is the GCF number.
So the greatest common factor 43,817 is 43.

Lets's calculate LCM of 516,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 68628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/68628

Therefore, the GCF of Fractions 43/516,817/133 is 43/68628

Least Common Multiple of 516,133 with GCF Formula

Least Common Multiple of 516,133 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 516,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,133) = 1

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

GCF(516,133) x common factors =1 x 1 = 1

LCM(516,133) = ( 516 × 133 ) / 1

LCM(516,133) = 68628 / 1

LCM(516,133) = 68628


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 43/516, 817/133

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 43/516, 817/133?

Answer: GCF of Numerators as per given numbers 43/516, 817/133 is

GCF of Numerators i.e. for 43,817 is 43

LCM of denominators i.e. for 516,133 is 68628.

Thus, GCF of Fractions is 43/68628.Finally, GCF of Fractions for 43/516, 817/133 is 43/68628.