GCD of 90, 675, 209, 764 Calculator

Given Input numbers are 90, 675, 209, 764

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

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 90, 675, 209, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 675, 209, 764 is 1.

Therefore, GCD of numbers 90, 675, 209, 764 is 1

Given Input Data is 90, 675, 209, 764

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

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 209 is 11 x 19

Prime Factorization of 764 is 2 x 2 x 191

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(90, 675) = 1350

GCD(90, 675) = ( 90 x 675 ) / 1350

GCD(90, 675) = 60750 / 1350

GCD(90, 675) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 209

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

LCM(45, 209) = 9405

GCD(45, 209) = ( 45 x 209 ) / 9405

GCD(45, 209) = 9405 / 9405

GCD(45, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 90, 675, 209, 764 is 1

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• GCD of 21, 247, 947, 641
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1. What is the GCD of 90, 675, 209, 764?

GCD of 90, 675, 209, 764 is 1

2. Where do I get the detailed procedure to find GCD of 90, 675, 209, 764?

You can find a detailed procedure to find GCD of 90, 675, 209, 764 on our page.

3. How to find GCD of 90, 675, 209, 764 on a calculator?

You can find the GCD of 90, 675, 209, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.