GCD of 300, 177, 29, 606 Calculator

Given Input numbers are 300, 177, 29, 606

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

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 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 300, 177, 29, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 177, 29, 606 is 1.

Therefore, GCD of numbers 300, 177, 29, 606 is 1

Given Input Data is 300, 177, 29, 606

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

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 29 is 29

Prime Factorization of 606 is 2 x 3 x 101

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(300, 177) = 17700

GCD(300, 177) = ( 300 x 177 ) / 17700

GCD(300, 177) = 53100 / 17700

GCD(300, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

GCD of 300, 177, 29, 606 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 179, 38, 598
• GCD of 841, 792, 92, 996
• GCD of 266, 117, 14, 602
• GCD of 937, 904, 32, 575
• GCD of 170, 983, 74, 317

1. What is the GCD of 300, 177, 29, 606?

GCD of 300, 177, 29, 606 is 1

2. Where do I get the detailed procedure to find GCD of 300, 177, 29, 606?

You can find a detailed procedure to find GCD of 300, 177, 29, 606 on our page.

3. How to find GCD of 300, 177, 29, 606 on a calculator?

You can find the GCD of 300, 177, 29, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.