Greatest Common Factor of 75/213, 347/795, 162/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/213, 347/795, 162/465

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 75/213,347/795,162/465

Given fractions are 75/213,347/795,162/465

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 75,347,162

Greatest Common Factor of Numerators i.e. GCF of 75,347,162 is 1 .

LCM of Denominators means LCM of 213,795,465 as per the given fractions.

LCM of 213,795,465 is 1749795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,347,162

GCF of Fractions 75/213,347/795,162/465 is 1/1749795

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

Greatest Common Factor of 75,347,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,347,162 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 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 75,347,162 . The biggest common factor number is the GCF number.
So the greatest common factor 75,347,162 is 1.

Lets's calculate LCM of 213,795,465

3 213, 795, 465
5 71, 265, 155
71, 53, 31

∴ So the LCM of the given numbers is 3 x 5 x 71 x 53 x 31 = 1749795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1749795

Therefore, the GCF of Fractions 75/213,347/795,162/465 is 1/1749795

Least Common Multiple of 213,795,465 with GCF Formula

Least Common Multiple of 213,795,465 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 213,795,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,795,465) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(213,795,465) x common factors =3 x 15 = 45

LCM(213,795,465) = ( 213 × 795 × 465 ) / 45

LCM(213,795,465) = 78740775 / 45

LCM(213,795,465) = 1749795


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 75/213, 347/795, 162/465

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 75/213, 347/795, 162/465?

Answer: GCF of Numerators as per given numbers 75/213, 347/795, 162/465 is

GCF of Numerators i.e. for 75,347,162 is 1

LCM of denominators i.e. for 213,795,465 is 1749795.

Thus, GCF of Fractions is 1/1749795.Finally, GCF of Fractions for 75/213, 347/795, 162/465 is 1/1749795.