Greatest Common Factor of 4455/27, 3537/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4455/27, 3537/286

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 4455/27,3537/286

Given fractions are 4455/27,3537/286

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 4455,3537

Greatest Common Factor of Numerators i.e. GCF of 4455,3537 is 27 .

LCM of Denominators means LCM of 27,286 as per the given fractions.

LCM of 27,286 is 7722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4455,3537

GCF of Fractions 4455/27,3537/286 is 27/7722

3 4455, 3537
3 1485, 1179
3 495, 393
165, 131

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 4455,3537 By Matching Biggest Common Factor Method

Greatest Common Factor of 4455,3537 By Matching Biggest Common Factor Method

Factors of 4455

List of positive integer factors of 4455 that divides 4455 without a remainder.

1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455

Factors of 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1,3,9,27,131,393,1179,3537

Greatest Common Factor

We found the factors 4455,3537 . The biggest common factor number is the GCF number.
So the greatest common factor 4455,3537 is 27.

Lets's calculate LCM of 27,286

Given numbers has no common factors except 1. So, there LCM is their product i.e 7722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/7722

Therefore, the GCF of Fractions 4455/27,3537/286 is 27/7722

Least Common Multiple of 27,286 with GCF Formula

Least Common Multiple of 27,286 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 27,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,286) = 1

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

GCF(27,286) x common factors =1 x 1 = 1

LCM(27,286) = ( 27 × 286 ) / 1

LCM(27,286) = 7722 / 1

LCM(27,286) = 7722


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 4455/27, 3537/286

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 4455/27, 3537/286?

Answer: GCF of Numerators as per given numbers 4455/27, 3537/286 is

GCF of Numerators i.e. for 4455,3537 is 27

LCM of denominators i.e. for 27,286 is 7722.

Thus, GCF of Fractions is 27/7722.Finally, GCF of Fractions for 4455/27, 3537/286 is 27/7722.