GCD of 500, 152, 107, 601 Calculator

Given Input numbers are 500, 152, 107, 601

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 152

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

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 500, 152, 107, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 152, 107, 601 is 1.

Therefore, GCD of numbers 500, 152, 107, 601 is 1

Given Input Data is 500, 152, 107, 601

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Prime Factorization of 107 is 107

Prime Factorization of 601 is 601

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(500, 152) = 19000

GCD(500, 152) = ( 500 x 152 ) / 19000

GCD(500, 152) = 76000 / 19000

GCD(500, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 107

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

LCM(4, 107) = 428

GCD(4, 107) = ( 4 x 107 ) / 428

GCD(4, 107) = 428 / 428

GCD(4, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 500, 152, 107, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 812, 298, 738
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• GCD of 433, 303, 507, 928
• GCD of 461, 977, 443, 728
• GCD of 224, 553, 732, 806

1. What is the GCD of 500, 152, 107, 601?

GCD of 500, 152, 107, 601 is 1

2. Where do I get the detailed procedure to find GCD of 500, 152, 107, 601?

You can find a detailed procedure to find GCD of 500, 152, 107, 601 on our page.

3. How to find GCD of 500, 152, 107, 601 on a calculator?

You can find the GCD of 500, 152, 107, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.