GCD of 372, 262, 90, 163 Calculator

Given Input numbers are 372, 262, 90, 163

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 163

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

1, 163

Greatest Common Divisior

We found the divisors of 372, 262, 90, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 262, 90, 163 is 1.

Therefore, GCD of numbers 372, 262, 90, 163 is 1

Given Input Data is 372, 262, 90, 163

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 262 is 2 x 131

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

Prime Factorization of 163 is 163

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(372, 262) = 48732

GCD(372, 262) = ( 372 x 262 ) / 48732

GCD(372, 262) = 97464 / 48732

GCD(372, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

GCD of 372, 262, 90, 163 is 1

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1. What is the GCD of 372, 262, 90, 163?

GCD of 372, 262, 90, 163 is 1

2. Where do I get the detailed procedure to find GCD of 372, 262, 90, 163?

You can find a detailed procedure to find GCD of 372, 262, 90, 163 on our page.

3. How to find GCD of 372, 262, 90, 163 on a calculator?

You can find the GCD of 372, 262, 90, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.