GCD of 513, 123, 732, 694 Calculator

Given Input numbers are 513, 123, 732, 694

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 513, 123, 732, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 123, 732, 694 is 1.

Therefore, GCD of numbers 513, 123, 732, 694 is 1

Given Input Data is 513, 123, 732, 694

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 123 is 3 x 41

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 694 is 2 x 347

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(513, 123) = 21033

GCD(513, 123) = ( 513 x 123 ) / 21033

GCD(513, 123) = 63099 / 21033

GCD(513, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 694

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

LCM(3, 694) = 2082

GCD(3, 694) = ( 3 x 694 ) / 2082

GCD(3, 694) = 2082 / 2082

GCD(3, 694) = 1

GCD of 513, 123, 732, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 890, 971, 657
• GCD of 965, 246, 317, 149
• GCD of 751, 901, 648, 542
• GCD of 785, 238, 569, 709
• GCD of 571, 383, 769, 972

1. What is the GCD of 513, 123, 732, 694?

GCD of 513, 123, 732, 694 is 1

2. Where do I get the detailed procedure to find GCD of 513, 123, 732, 694?

You can find a detailed procedure to find GCD of 513, 123, 732, 694 on our page.

3. How to find GCD of 513, 123, 732, 694 on a calculator?

You can find the GCD of 513, 123, 732, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.