GCD of 103, 629, 668, 600 Calculator

Given Input numbers are 103, 629, 668, 600

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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

Greatest Common Divisior

We found the divisors of 103, 629, 668, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 629, 668, 600 is 1.

Therefore, GCD of numbers 103, 629, 668, 600 is 1

Given Input Data is 103, 629, 668, 600

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

Prime Factorization of 103 is 103

Prime Factorization of 629 is 17 x 37

Prime Factorization of 668 is 2 x 2 x 167

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

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(103, 629) = 64787

GCD(103, 629) = ( 103 x 629 ) / 64787

GCD(103, 629) = 64787 / 64787

GCD(103, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

Step3:

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

GCD of 103, 629, 668, 600 is 1

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1. What is the GCD of 103, 629, 668, 600?

GCD of 103, 629, 668, 600 is 1

2. Where do I get the detailed procedure to find GCD of 103, 629, 668, 600?

You can find a detailed procedure to find GCD of 103, 629, 668, 600 on our page.

3. How to find GCD of 103, 629, 668, 600 on a calculator?

You can find the GCD of 103, 629, 668, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.