GCD of 151, 146, 900, 163 Calculator

Given Input numbers are 151, 146, 900, 163

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 151, 146, 900, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 146, 900, 163 is 1.

Therefore, GCD of numbers 151, 146, 900, 163 is 1

Given Input Data is 151, 146, 900, 163

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

Prime Factorization of 151 is 151

Prime Factorization of 146 is 2 x 73

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 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(151, 146) = 22046

GCD(151, 146) = ( 151 x 146 ) / 22046

GCD(151, 146) = 22046 / 22046

GCD(151, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

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

GCD of 151, 146, 900, 163 is 1

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1. What is the GCD of 151, 146, 900, 163?

GCD of 151, 146, 900, 163 is 1

2. Where do I get the detailed procedure to find GCD of 151, 146, 900, 163?

You can find a detailed procedure to find GCD of 151, 146, 900, 163 on our page.

3. How to find GCD of 151, 146, 900, 163 on a calculator?

You can find the GCD of 151, 146, 900, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.