Greatest Common Factor of 75/59, 60/67, 227/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/59, 60/67, 227/306

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 75/59,60/67,227/306

Given fractions are 75/59,60/67,227/306

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 75,60,227

Greatest Common Factor of Numerators i.e. GCF of 75,60,227 is 1 .

LCM of Denominators means LCM of 59,67,306 as per the given fractions.

LCM of 59,67,306 is 1209618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,60,227

GCF of Fractions 75/59,60/67,227/306 is 1/1209618

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

Greatest Common Factor of 75,60,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,60,227 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 75,60,227 . The biggest common factor number is the GCF number.
So the greatest common factor 75,60,227 is 1.

Lets's calculate LCM of 59,67,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1209618

Therefore, the GCF of Fractions 75/59,60/67,227/306 is 1/1209618

Least Common Multiple of 59,67,306 with GCF Formula

Least Common Multiple of 59,67,306 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 59,67,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,67,306) = 1

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

GCF(59,67,306) x common factors =1 x 1 = 1

LCM(59,67,306) = ( 59 × 67 × 306 ) / 1

LCM(59,67,306) = 1209618 / 1

LCM(59,67,306) = 1209618


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 75/59, 60/67, 227/306

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 75/59, 60/67, 227/306?

Answer: GCF of Numerators as per given numbers 75/59, 60/67, 227/306 is

GCF of Numerators i.e. for 75,60,227 is 1

LCM of denominators i.e. for 59,67,306 is 1209618.

Thus, GCF of Fractions is 1/1209618.Finally, GCF of Fractions for 75/59, 60/67, 227/306 is 1/1209618.