GCD of 475, 442, 90, 840 Calculator

Given Input numbers are 475, 442, 90, 840

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 475, 442, 90, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 442, 90, 840 is 1.

Therefore, GCD of numbers 475, 442, 90, 840 is 1

Given Input Data is 475, 442, 90, 840

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(475, 442) = 209950

GCD(475, 442) = ( 475 x 442 ) / 209950

GCD(475, 442) = 209950 / 209950

GCD(475, 442) = 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 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 475, 442, 90, 840 is 1

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1. What is the GCD of 475, 442, 90, 840?

GCD of 475, 442, 90, 840 is 1

2. Where do I get the detailed procedure to find GCD of 475, 442, 90, 840?

You can find a detailed procedure to find GCD of 475, 442, 90, 840 on our page.

3. How to find GCD of 475, 442, 90, 840 on a calculator?

You can find the GCD of 475, 442, 90, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.