GCD of 220, 476, 279, 145 Calculator

Given Input numbers are 220, 476, 279, 145

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 220

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

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 220, 476, 279, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 476, 279, 145 is 1.

Therefore, GCD of numbers 220, 476, 279, 145 is 1

Given Input Data is 220, 476, 279, 145

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 145 is 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(220, 476) = 26180

GCD(220, 476) = ( 220 x 476 ) / 26180

GCD(220, 476) = 104720 / 26180

GCD(220, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 279

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 279) = 1116

GCD(4, 279) = ( 4 x 279 ) / 1116

GCD(4, 279) = 1116 / 1116

GCD(4, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 220, 476, 279, 145 is 1

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1. What is the GCD of 220, 476, 279, 145?

GCD of 220, 476, 279, 145 is 1

2. Where do I get the detailed procedure to find GCD of 220, 476, 279, 145?

You can find a detailed procedure to find GCD of 220, 476, 279, 145 on our page.

3. How to find GCD of 220, 476, 279, 145 on a calculator?

You can find the GCD of 220, 476, 279, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.