GCD of 67, 404, 600, 556 Calculator

Given Input numbers are 67, 404, 600, 556

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 67, 404, 600, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 404, 600, 556 is 1.

Therefore, GCD of numbers 67, 404, 600, 556 is 1

Given Input Data is 67, 404, 600, 556

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

Prime Factorization of 67 is 67

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 556 is 2 x 2 x 139

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(67, 404) = 27068

GCD(67, 404) = ( 67 x 404 ) / 27068

GCD(67, 404) = 27068 / 27068

GCD(67, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 67, 404, 600, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 815, 234, 784
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• GCD of 30, 333, 426, 846
• GCD of 76, 764, 615, 559

1. What is the GCD of 67, 404, 600, 556?

GCD of 67, 404, 600, 556 is 1

2. Where do I get the detailed procedure to find GCD of 67, 404, 600, 556?

You can find a detailed procedure to find GCD of 67, 404, 600, 556 on our page.

3. How to find GCD of 67, 404, 600, 556 on a calculator?

You can find the GCD of 67, 404, 600, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.