Greatest Common Factor of 513/71, 795/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/71, 795/999

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 513/71,795/999

Given fractions are 513/71,795/999

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 513,795

Greatest Common Factor of Numerators i.e. GCF of 513,795 is 3 .

LCM of Denominators means LCM of 71,999 as per the given fractions.

LCM of 71,999 is 70929 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,795

GCF of Fractions 513/71,795/999 is 3/70929

3 513, 795
171, 265

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 513,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,795 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 513,795 . The biggest common factor number is the GCF number.
So the greatest common factor 513,795 is 3.

Lets's calculate LCM of 71,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 70929

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70929

Therefore, the GCF of Fractions 513/71,795/999 is 3/70929

Least Common Multiple of 71,999 with GCF Formula

Least Common Multiple of 71,999 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 71,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,999) = 1

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

GCF(71,999) x common factors =1 x 1 = 1

LCM(71,999) = ( 71 × 999 ) / 1

LCM(71,999) = 70929 / 1

LCM(71,999) = 70929


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 513/71, 795/999

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 513/71, 795/999?

Answer: GCF of Numerators as per given numbers 513/71, 795/999 is

GCF of Numerators i.e. for 513,795 is 3

LCM of denominators i.e. for 71,999 is 70929.

Thus, GCF of Fractions is 3/70929.Finally, GCF of Fractions for 513/71, 795/999 is 3/70929.