Greatest Common Factor of 38/855, 285/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/855, 285/565

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 38/855,285/565

Given fractions are 38/855,285/565

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 38,285

Greatest Common Factor of Numerators i.e. GCF of 38,285 is 19 .

LCM of Denominators means LCM of 855,565 as per the given fractions.

LCM of 855,565 is 96615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,285

GCF of Fractions 38/855,285/565 is 19/96615

19 38, 285
2, 15

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 38,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,285 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 38,285 . The biggest common factor number is the GCF number.
So the greatest common factor 38,285 is 19.

Lets's calculate LCM of 855,565

5 855, 565
171, 113

∴ So the LCM of the given numbers is 5 x 171 x 113 = 96615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/96615

Therefore, the GCF of Fractions 38/855,285/565 is 19/96615

Least Common Multiple of 855,565 with GCF Formula

Least Common Multiple of 855,565 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 855,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,565) = 5

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

GCF(855,565) x common factors =5 x 1 = 5

LCM(855,565) = ( 855 × 565 ) / 5

LCM(855,565) = 483075 / 5

LCM(855,565) = 96615


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 38/855, 285/565

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 38/855, 285/565?

Answer: GCF of Numerators as per given numbers 38/855, 285/565 is

GCF of Numerators i.e. for 38,285 is 19

LCM of denominators i.e. for 855,565 is 96615.

Thus, GCF of Fractions is 19/96615.Finally, GCF of Fractions for 38/855, 285/565 is 19/96615.