Greatest Common Factor of 285/88, 820/1533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/88, 820/1533

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 285/88,820/1533

Given fractions are 285/88,820/1533

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 285,820

Greatest Common Factor of Numerators i.e. GCF of 285,820 is 5 .

LCM of Denominators means LCM of 88,1533 as per the given fractions.

LCM of 88,1533 is 134904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,820

GCF of Fractions 285/88,820/1533 is 5/134904

5 285, 820
57, 164

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 285,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,820 By Matching Biggest Common Factor Method

Factors of 285

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

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

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 285,820 . The biggest common factor number is the GCF number.
So the greatest common factor 285,820 is 5.

Lets's calculate LCM of 88,1533

Given numbers has no common factors except 1. So, there LCM is their product i.e 134904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/134904

Therefore, the GCF of Fractions 285/88,820/1533 is 5/134904

Least Common Multiple of 88,1533 with GCF Formula

Least Common Multiple of 88,1533 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 88,1533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,1533) = 1

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

GCF(88,1533) x common factors =1 x 1 = 1

LCM(88,1533) = ( 88 × 1533 ) / 1

LCM(88,1533) = 134904 / 1

LCM(88,1533) = 134904


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 285/88, 820/1533

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 285/88, 820/1533?

Answer: GCF of Numerators as per given numbers 285/88, 820/1533 is

GCF of Numerators i.e. for 285,820 is 5

LCM of denominators i.e. for 88,1533 is 134904.

Thus, GCF of Fractions is 5/134904.Finally, GCF of Fractions for 285/88, 820/1533 is 5/134904.