GCD of 101, 150, 59, 642 Calculator

Given Input numbers are 101, 150, 59, 642

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 101, 150, 59, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 150, 59, 642 is 1.

Therefore, GCD of numbers 101, 150, 59, 642 is 1

Given Input Data is 101, 150, 59, 642

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

Prime Factorization of 101 is 101

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

Prime Factorization of 59 is 59

Prime Factorization of 642 is 2 x 3 x 107

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(101, 150) = 15150

GCD(101, 150) = ( 101 x 150 ) / 15150

GCD(101, 150) = 15150 / 15150

GCD(101, 150) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 101, 150, 59, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 642, 97, 698
• GCD of 486, 557, 58, 115
• GCD of 264, 357, 85, 316
• GCD of 803, 956, 71, 270
• GCD of 523, 101, 95, 529

1. What is the GCD of 101, 150, 59, 642?

GCD of 101, 150, 59, 642 is 1

2. Where do I get the detailed procedure to find GCD of 101, 150, 59, 642?

You can find a detailed procedure to find GCD of 101, 150, 59, 642 on our page.

3. How to find GCD of 101, 150, 59, 642 on a calculator?

You can find the GCD of 101, 150, 59, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.