GCD of 90, 675, 808, 635 Calculator

Given Input numbers are 90, 675, 808, 635

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 90, 675, 808, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 675, 808, 635 is 1.

Therefore, GCD of numbers 90, 675, 808, 635 is 1

Given Input Data is 90, 675, 808, 635

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 808 is 2 x 2 x 2 x 101

Prime Factorization of 635 is 5 x 127

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 808

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

LCM(45, 808) = 36360

GCD(45, 808) = ( 45 x 808 ) / 36360

GCD(45, 808) = 36360 / 36360

GCD(45, 808) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 90, 675, 808, 635 is 1

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1. What is the GCD of 90, 675, 808, 635?

GCD of 90, 675, 808, 635 is 1

2. Where do I get the detailed procedure to find GCD of 90, 675, 808, 635?

You can find a detailed procedure to find GCD of 90, 675, 808, 635 on our page.

3. How to find GCD of 90, 675, 808, 635 on a calculator?

You can find the GCD of 90, 675, 808, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.