GCD of 150, 160, 641, 900 Calculator

Given Input numbers are 150, 160, 641, 900

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

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

Greatest Common Divisior

We found the divisors of 150, 160, 641, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 160, 641, 900 is 1.

Therefore, GCD of numbers 150, 160, 641, 900 is 1

Given Input Data is 150, 160, 641, 900

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 641 is 641

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(150, 160) = 2400

GCD(150, 160) = ( 150 x 160 ) / 2400

GCD(150, 160) = 24000 / 2400

GCD(150, 160) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 641

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

LCM(10, 641) = 6410

GCD(10, 641) = ( 10 x 641 ) / 6410

GCD(10, 641) = 6410 / 6410

GCD(10, 641) = 1

Step3:

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

GCD of 150, 160, 641, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 386, 796, 127
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• GCD of 607, 570, 248, 116

1. What is the GCD of 150, 160, 641, 900?

GCD of 150, 160, 641, 900 is 1

2. Where do I get the detailed procedure to find GCD of 150, 160, 641, 900?

You can find a detailed procedure to find GCD of 150, 160, 641, 900 on our page.

3. How to find GCD of 150, 160, 641, 900 on a calculator?

You can find the GCD of 150, 160, 641, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.