Greatest Common Factor of 220/90, 230/4775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/90, 230/4775

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 220/90,230/4775

Given fractions are 220/90,230/4775

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 220,230

Greatest Common Factor of Numerators i.e. GCF of 220,230 is 10 .

LCM of Denominators means LCM of 90,4775 as per the given fractions.

LCM of 90,4775 is 85950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,230

GCF of Fractions 220/90,230/4775 is 10/85950

2 220, 230
5 110, 115
22, 23

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 220,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,230 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 220,230 . The biggest common factor number is the GCF number.
So the greatest common factor 220,230 is 10.

Lets's calculate LCM of 90,4775

5 90, 4775
18, 955

∴ So the LCM of the given numbers is 5 x 18 x 955 = 85950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/85950

Therefore, the GCF of Fractions 220/90,230/4775 is 10/85950

Least Common Multiple of 90,4775 with GCF Formula

Least Common Multiple of 90,4775 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 90,4775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,4775) = 5

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

GCF(90,4775) x common factors =5 x 1 = 5

LCM(90,4775) = ( 90 × 4775 ) / 5

LCM(90,4775) = 429750 / 5

LCM(90,4775) = 85950


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 220/90, 230/4775

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 220/90, 230/4775?

Answer: GCF of Numerators as per given numbers 220/90, 230/4775 is

GCF of Numerators i.e. for 220,230 is 10

LCM of denominators i.e. for 90,4775 is 85950.

Thus, GCF of Fractions is 10/85950.Finally, GCF of Fractions for 220/90, 230/4775 is 10/85950.