GCD of 265, 212, 859, 990 Calculator

Given Input numbers are 265, 212, 859, 990

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 265, 212, 859, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 212, 859, 990 is 1.

Therefore, GCD of numbers 265, 212, 859, 990 is 1

Given Input Data is 265, 212, 859, 990

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 859 is 859

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(265, 212) = 1060

GCD(265, 212) = ( 265 x 212 ) / 1060

GCD(265, 212) = 56180 / 1060

GCD(265, 212) = 53

Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 859

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

LCM(53, 859) = 45527

GCD(53, 859) = ( 53 x 859 ) / 45527

GCD(53, 859) = 45527 / 45527

GCD(53, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 265, 212, 859, 990 is 1

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1. What is the GCD of 265, 212, 859, 990?

GCD of 265, 212, 859, 990 is 1

2. Where do I get the detailed procedure to find GCD of 265, 212, 859, 990?

You can find a detailed procedure to find GCD of 265, 212, 859, 990 on our page.

3. How to find GCD of 265, 212, 859, 990 on a calculator?

You can find the GCD of 265, 212, 859, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.