LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 885/27, 585/418

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 885/27, 585/418 i.e 15/11286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/27, 585/418.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 885/27,585/418?

Given fractions are 885/27,585/418

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 885/27,585/418, numerators are 885,585

Denominators are 27,418

The GCF of 885,585 is 15 .

LCM of 27,418 is 11286.

The greatest common factor of 885/27,585/418 = [GCF of 885,585]/[LCM of 27,418]= 15/11286

Therefore, the GCF of 885/27,585/418 is 15/11286.

Greatest Common Factor of 885,585

To find the highest common factor of 885,585, we have to find the factors of both numbers and list the highest common factor.

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

The HCF of 885,585 is 15.

Lets's calculate GCF of 885,585

Greatest Common Factor (GCF) of 885,585 By Common Division

3 885, 585
5 295, 195
59, 39

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 885,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,585 By Matching Biggest Common Factor Method

Now, list down the factors of 885

:

1,3,5,15,59,177,295,885

Now, list down the factors of 585

:

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 885,585 . The biggest common factor number is the GCF number.
So the greatest common factor 885,585 is 15.


Lets's calculate LCM of 27,418

Lowest Common Multiple of 27,418 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/11286

Therefore, the GCF of Fractions 885/27,585/418 is 15/11286

Least Common Multiple of 27,418 with GCF Formula

Least Common Multiple of 27,418 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 27,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,418) = 1

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

GCF(27,418) x common factors =1 x 1 = 1

LCM(27,418) = ( 27 × 418 ) / 1

LCM(27,418) = 11286 / 1

LCM(27,418) = 11286


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 885/27, 585/418

1. What is the HCF of 885,585?

The HCF of 885,585 is 15

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 885/27, 585/418?

Answer: GCF of Numerators as per given numbers 885/27, 585/418 is

GCF of Numerators i.e. for 885,585 is 15

LCM of denominators i.e. for 27,418 is 11286.

Thus, GCF of Fractions is 15/11286.Finally, GCF of Fractions for 885/27, 585/418 is 15/11286.