GCD of 90, 709, 163, 854 Calculator

Given Input numbers are 90, 709, 163, 854

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 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 90, 709, 163, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 709, 163, 854 is 1.

Therefore, GCD of numbers 90, 709, 163, 854 is 1

Given Input Data is 90, 709, 163, 854

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 709 is 709

Prime Factorization of 163 is 163

Prime Factorization of 854 is 2 x 7 x 61

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, 709) = 63810

GCD(90, 709) = ( 90 x 709 ) / 63810

GCD(90, 709) = 63810 / 63810

GCD(90, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 90, 709, 163, 854 is 1

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1. What is the GCD of 90, 709, 163, 854?

GCD of 90, 709, 163, 854 is 1

2. Where do I get the detailed procedure to find GCD of 90, 709, 163, 854?

You can find a detailed procedure to find GCD of 90, 709, 163, 854 on our page.

3. How to find GCD of 90, 709, 163, 854 on a calculator?

You can find the GCD of 90, 709, 163, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.