Greatest Common Factor of 83/13, 79/42, 517/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/13, 79/42, 517/375

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 83/13,79/42,517/375

Given fractions are 83/13,79/42,517/375

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 83,79,517

Greatest Common Factor of Numerators i.e. GCF of 83,79,517 is 1 .

LCM of Denominators means LCM of 13,42,375 as per the given fractions.

LCM of 13,42,375 is 68250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,79,517

GCF of Fractions 83/13,79/42,517/375 is 1/68250

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

Greatest Common Factor of 83,79,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,79,517 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 83,79,517 . The biggest common factor number is the GCF number.
So the greatest common factor 83,79,517 is 1.

Lets's calculate LCM of 13,42,375

3 13, 42, 375
13, 14, 125

∴ So the LCM of the given numbers is 3 x 13 x 14 x 125 = 68250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68250

Therefore, the GCF of Fractions 83/13,79/42,517/375 is 1/68250

Least Common Multiple of 13,42,375 with GCF Formula

Least Common Multiple of 13,42,375 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 13,42,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,42,375) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,42,375) x common factors =1 x 3 = 3

LCM(13,42,375) = ( 13 × 42 × 375 ) / 3

LCM(13,42,375) = 204750 / 3

LCM(13,42,375) = 68250


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 83/13, 79/42, 517/375

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 83/13, 79/42, 517/375?

Answer: GCF of Numerators as per given numbers 83/13, 79/42, 517/375 is

GCF of Numerators i.e. for 83,79,517 is 1

LCM of denominators i.e. for 13,42,375 is 68250.

Thus, GCF of Fractions is 1/68250.Finally, GCF of Fractions for 83/13, 79/42, 517/375 is 1/68250.