Greatest Common Factor of 272/93, 509/44, 395/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/93, 509/44, 395/225

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 272/93,509/44,395/225

Given fractions are 272/93,509/44,395/225

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 272,509,395

Greatest Common Factor of Numerators i.e. GCF of 272,509,395 is 1 .

LCM of Denominators means LCM of 93,44,225 as per the given fractions.

LCM of 93,44,225 is 306900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,509,395

GCF of Fractions 272/93,509/44,395/225 is 1/306900

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

Greatest Common Factor of 272,509,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,509,395 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 272,509,395 . The biggest common factor number is the GCF number.
So the greatest common factor 272,509,395 is 1.

Lets's calculate LCM of 93,44,225

3 93, 44, 225
31, 44, 75

∴ So the LCM of the given numbers is 3 x 31 x 44 x 75 = 306900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306900

Therefore, the GCF of Fractions 272/93,509/44,395/225 is 1/306900

Least Common Multiple of 93,44,225 with GCF Formula

Least Common Multiple of 93,44,225 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 93,44,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,44,225) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,44,225) x common factors =1 x 3 = 3

LCM(93,44,225) = ( 93 × 44 × 225 ) / 3

LCM(93,44,225) = 920700 / 3

LCM(93,44,225) = 306900


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 272/93, 509/44, 395/225

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 272/93, 509/44, 395/225?

Answer: GCF of Numerators as per given numbers 272/93, 509/44, 395/225 is

GCF of Numerators i.e. for 272,509,395 is 1

LCM of denominators i.e. for 93,44,225 is 306900.

Thus, GCF of Fractions is 1/306900.Finally, GCF of Fractions for 272/93, 509/44, 395/225 is 1/306900.