GCD of 419, 300, 83, 152 Calculator

Given Input numbers are 419, 300, 83, 152

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 419, 300, 83, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 419, 300, 83, 152 is 1.

Therefore, GCD of numbers 419, 300, 83, 152 is 1

Given Input Data is 419, 300, 83, 152

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

Prime Factorization of 419 is 419

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 83 is 83

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(419, 300) = 125700

GCD(419, 300) = ( 419 x 300 ) / 125700

GCD(419, 300) = 125700 / 125700

GCD(419, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 419, 300, 83, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 862, 16, 710
• GCD of 488, 823, 81, 611
• GCD of 749, 679, 77, 874
• GCD of 478, 338, 22, 854
• GCD of 381, 700, 90, 532

1. What is the GCD of 419, 300, 83, 152?

GCD of 419, 300, 83, 152 is 1

2. Where do I get the detailed procedure to find GCD of 419, 300, 83, 152?

You can find a detailed procedure to find GCD of 419, 300, 83, 152 on our page.

3. How to find GCD of 419, 300, 83, 152 on a calculator?

You can find the GCD of 419, 300, 83, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.