GCD of 150, 428, 42, 431 Calculator

Given Input numbers are 150, 428, 42, 431

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 150, 428, 42, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 428, 42, 431 is 1.

Therefore, GCD of numbers 150, 428, 42, 431 is 1

Given Input Data is 150, 428, 42, 431

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 428 is 2 x 2 x 107

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 431 is 431

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, 428) = 32100

GCD(150, 428) = ( 150 x 428 ) / 32100

GCD(150, 428) = 64200 / 32100

GCD(150, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

GCD of 150, 428, 42, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 728, 48, 737
• GCD of 517, 279, 37, 604
• GCD of 162, 895, 60, 408
• GCD of 205, 426, 89, 879
• GCD of 822, 945, 31, 314

1. What is the GCD of 150, 428, 42, 431?

GCD of 150, 428, 42, 431 is 1

2. Where do I get the detailed procedure to find GCD of 150, 428, 42, 431?

You can find a detailed procedure to find GCD of 150, 428, 42, 431 on our page.

3. How to find GCD of 150, 428, 42, 431 on a calculator?

You can find the GCD of 150, 428, 42, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.