GCD of 627, 509, 90, 212 Calculator

Given Input numbers are 627, 509, 90, 212

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 627, 509, 90, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 509, 90, 212 is 1.

Therefore, GCD of numbers 627, 509, 90, 212 is 1

Given Input Data is 627, 509, 90, 212

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 509 is 509

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 212 is 2 x 2 x 53

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(627, 509) = 319143

GCD(627, 509) = ( 627 x 509 ) / 319143

GCD(627, 509) = 319143 / 319143

GCD(627, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 627, 509, 90, 212 is 1

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• GCD of 517, 215, 37, 499
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• GCD of 838, 292, 18, 652

1. What is the GCD of 627, 509, 90, 212?

GCD of 627, 509, 90, 212 is 1

2. Where do I get the detailed procedure to find GCD of 627, 509, 90, 212?

You can find a detailed procedure to find GCD of 627, 509, 90, 212 on our page.

3. How to find GCD of 627, 509, 90, 212 on a calculator?

You can find the GCD of 627, 509, 90, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.