GCD of 600, 198, 662, 737 Calculator

Given Input numbers are 600, 198, 662, 737

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

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 600, 198, 662, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 198, 662, 737 is 1.

Therefore, GCD of numbers 600, 198, 662, 737 is 1

Given Input Data is 600, 198, 662, 737

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

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 662 is 2 x 331

Prime Factorization of 737 is 11 x 67

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(600, 198) = 19800

GCD(600, 198) = ( 600 x 198 ) / 19800

GCD(600, 198) = 118800 / 19800

GCD(600, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 662

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

LCM(6, 662) = 1986

GCD(6, 662) = ( 6 x 662 ) / 1986

GCD(6, 662) = 3972 / 1986

GCD(6, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 600, 198, 662, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 664, 145, 892
• GCD of 890, 889, 121, 938
• GCD of 972, 125, 166, 865
• GCD of 787, 123, 441, 105
• GCD of 726, 769, 820, 146

1. What is the GCD of 600, 198, 662, 737?

GCD of 600, 198, 662, 737 is 1

2. Where do I get the detailed procedure to find GCD of 600, 198, 662, 737?

You can find a detailed procedure to find GCD of 600, 198, 662, 737 on our page.

3. How to find GCD of 600, 198, 662, 737 on a calculator?

You can find the GCD of 600, 198, 662, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.