Greatest Common Factor of 362/27, 905/3229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 362/27, 905/3229

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 362/27,905/3229

Given fractions are 362/27,905/3229

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 362,905

Greatest Common Factor of Numerators i.e. GCF of 362,905 is 181 .

LCM of Denominators means LCM of 27,3229 as per the given fractions.

LCM of 27,3229 is 87183 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 362,905

GCF of Fractions 362/27,905/3229 is 181/87183

181 362, 905
2, 5

∴ So the GCF of the given numbers is 181 = 181

Greatest Common Factor of 362,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,905 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 362,905 . The biggest common factor number is the GCF number.
So the greatest common factor 362,905 is 181.

Lets's calculate LCM of 27,3229

Given numbers has no common factors except 1. So, there LCM is their product i.e 87183

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/87183

Therefore, the GCF of Fractions 362/27,905/3229 is 181/87183

Least Common Multiple of 27,3229 with GCF Formula

Least Common Multiple of 27,3229 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 27,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,3229) = 1

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

GCF(27,3229) x common factors =1 x 1 = 1

LCM(27,3229) = ( 27 × 3229 ) / 1

LCM(27,3229) = 87183 / 1

LCM(27,3229) = 87183


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 362/27, 905/3229

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 362/27, 905/3229?

Answer: GCF of Numerators as per given numbers 362/27, 905/3229 is

GCF of Numerators i.e. for 362,905 is 181

LCM of denominators i.e. for 27,3229 is 87183.

Thus, GCF of Fractions is 181/87183.Finally, GCF of Fractions for 362/27, 905/3229 is 181/87183.