Greatest Common Factor of 341/82, 201/80, 558/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/82, 201/80, 558/75

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 341/82,201/80,558/75

Given fractions are 341/82,201/80,558/75

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 341,201,558

Greatest Common Factor of Numerators i.e. GCF of 341,201,558 is 1 .

LCM of Denominators means LCM of 82,80,75 as per the given fractions.

LCM of 82,80,75 is 49200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,201,558

GCF of Fractions 341/82,201/80,558/75 is 1/49200

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

Greatest Common Factor of 341,201,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,201,558 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 341,201,558 . The biggest common factor number is the GCF number.
So the greatest common factor 341,201,558 is 1.

Lets's calculate LCM of 82,80,75

2 82, 80, 75
5 41, 40, 75
41, 8, 15

∴ So the LCM of the given numbers is 2 x 5 x 41 x 8 x 15 = 49200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49200

Therefore, the GCF of Fractions 341/82,201/80,558/75 is 1/49200

Least Common Multiple of 82,80,75 with GCF Formula

Least Common Multiple of 82,80,75 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 82,80,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,80,75) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(82,80,75) x common factors =1 x 10 = 10

LCM(82,80,75) = ( 82 × 80 × 75 ) / 10

LCM(82,80,75) = 492000 / 10

LCM(82,80,75) = 49200


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 341/82, 201/80, 558/75

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 341/82, 201/80, 558/75?

Answer: GCF of Numerators as per given numbers 341/82, 201/80, 558/75 is

GCF of Numerators i.e. for 341,201,558 is 1

LCM of denominators i.e. for 82,80,75 is 49200.

Thus, GCF of Fractions is 1/49200.Finally, GCF of Fractions for 341/82, 201/80, 558/75 is 1/49200.