Greatest Common Factor of 227/395, 145/312, 318/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 227/395, 145/312, 318/347

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 227/395,145/312,318/347

Given fractions are 227/395,145/312,318/347

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 227,145,318

Greatest Common Factor of Numerators i.e. GCF of 227,145,318 is 1 .

LCM of Denominators means LCM of 395,312,347 as per the given fractions.

LCM of 395,312,347 is 42764280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 227,145,318

GCF of Fractions 227/395,145/312,318/347 is 1/42764280

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

Greatest Common Factor of 227,145,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,145,318 By Matching Biggest Common Factor Method

Factors of 227

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

1,227

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 227,145,318 . The biggest common factor number is the GCF number.
So the greatest common factor 227,145,318 is 1.

Lets's calculate LCM of 395,312,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 42764280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42764280

Therefore, the GCF of Fractions 227/395,145/312,318/347 is 1/42764280

Least Common Multiple of 395,312,347 with GCF Formula

Least Common Multiple of 395,312,347 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 395,312,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,312,347) = 1

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

GCF(395,312,347) x common factors =1 x 1 = 1

LCM(395,312,347) = ( 395 × 312 × 347 ) / 1

LCM(395,312,347) = 42764280 / 1

LCM(395,312,347) = 42764280


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 227/395, 145/312, 318/347

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 227/395, 145/312, 318/347?

Answer: GCF of Numerators as per given numbers 227/395, 145/312, 318/347 is

GCF of Numerators i.e. for 227,145,318 is 1

LCM of denominators i.e. for 395,312,347 is 42764280.

Thus, GCF of Fractions is 1/42764280.Finally, GCF of Fractions for 227/395, 145/312, 318/347 is 1/42764280.