Greatest Common Factor of 75/791, 168/843, 339/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/791, 168/843, 339/106

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 75/791,168/843,339/106

Given fractions are 75/791,168/843,339/106

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 75,168,339

Greatest Common Factor of Numerators i.e. GCF of 75,168,339 is 3 .

LCM of Denominators means LCM of 791,843,106 as per the given fractions.

LCM of 791,843,106 is 70682178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,168,339

GCF of Fractions 75/791,168/843,339/106 is 3/70682178

3 75, 168, 339
25, 56, 113

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

Greatest Common Factor of 75,168,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,168,339 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 75,168,339 . The biggest common factor number is the GCF number.
So the greatest common factor 75,168,339 is 3.

Lets's calculate LCM of 791,843,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 70682178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70682178

Therefore, the GCF of Fractions 75/791,168/843,339/106 is 3/70682178

Least Common Multiple of 791,843,106 with GCF Formula

Least Common Multiple of 791,843,106 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 791,843,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,843,106) = 1

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

GCF(791,843,106) x common factors =1 x 1 = 1

LCM(791,843,106) = ( 791 × 843 × 106 ) / 1

LCM(791,843,106) = 70682178 / 1

LCM(791,843,106) = 70682178


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 75/791, 168/843, 339/106

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 75/791, 168/843, 339/106?

Answer: GCF of Numerators as per given numbers 75/791, 168/843, 339/106 is

GCF of Numerators i.e. for 75,168,339 is 3

LCM of denominators i.e. for 791,843,106 is 70682178.

Thus, GCF of Fractions is 3/70682178.Finally, GCF of Fractions for 75/791, 168/843, 339/106 is 3/70682178.