GCD of 654, 615, 39, 521 Calculator

Given Input numbers are 654, 615, 39, 521

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 654, 615, 39, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 615, 39, 521 is 1.

Therefore, GCD of numbers 654, 615, 39, 521 is 1

Given Input Data is 654, 615, 39, 521

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 39 is 3 x 13

Prime Factorization of 521 is 521

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(654, 615) = 134070

GCD(654, 615) = ( 654 x 615 ) / 134070

GCD(654, 615) = 402210 / 134070

GCD(654, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 521

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

LCM(3, 521) = 1563

GCD(3, 521) = ( 3 x 521 ) / 1563

GCD(3, 521) = 1563 / 1563

GCD(3, 521) = 1

GCD of 654, 615, 39, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 192, 34, 544
• GCD of 157, 436, 39, 564
• GCD of 441, 944, 27, 630
• GCD of 673, 182, 71, 767
• GCD of 113, 907, 79, 783

1. What is the GCD of 654, 615, 39, 521?

GCD of 654, 615, 39, 521 is 1

2. Where do I get the detailed procedure to find GCD of 654, 615, 39, 521?

You can find a detailed procedure to find GCD of 654, 615, 39, 521 on our page.

3. How to find GCD of 654, 615, 39, 521 on a calculator?

You can find the GCD of 654, 615, 39, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.