GCD of 201, 195, 150, 698 Calculator

Given Input numbers are 201, 195, 150, 698

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 201, 195, 150, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 195, 150, 698 is 1.

Therefore, GCD of numbers 201, 195, 150, 698 is 1

Given Input Data is 201, 195, 150, 698

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 195 is 3 x 5 x 13

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

Prime Factorization of 698 is 2 x 349

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(201, 195) = 13065

GCD(201, 195) = ( 201 x 195 ) / 13065

GCD(201, 195) = 39195 / 13065

GCD(201, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 150

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

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

GCD(3, 150) = 450 / 150

GCD(3, 150) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

GCD of 201, 195, 150, 698 is 1

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1. What is the GCD of 201, 195, 150, 698?

GCD of 201, 195, 150, 698 is 1

2. Where do I get the detailed procedure to find GCD of 201, 195, 150, 698?

You can find a detailed procedure to find GCD of 201, 195, 150, 698 on our page.

3. How to find GCD of 201, 195, 150, 698 on a calculator?

You can find the GCD of 201, 195, 150, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.