GCD of 78, 655, 682, 409 Calculator

Given Input numbers are 78, 655, 682, 409

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 78, 655, 682, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 655, 682, 409 is 1.

Therefore, GCD of numbers 78, 655, 682, 409 is 1

Given Input Data is 78, 655, 682, 409

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 655 is 5 x 131

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 409 is 409

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(78, 655) = 51090

GCD(78, 655) = ( 78 x 655 ) / 51090

GCD(78, 655) = 51090 / 51090

GCD(78, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 78, 655, 682, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 418, 280, 707
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• GCD of 72, 628, 600, 619
• GCD of 85, 626, 139, 642
• GCD of 89, 760, 182, 774

1. What is the GCD of 78, 655, 682, 409?

GCD of 78, 655, 682, 409 is 1

2. Where do I get the detailed procedure to find GCD of 78, 655, 682, 409?

You can find a detailed procedure to find GCD of 78, 655, 682, 409 on our page.

3. How to find GCD of 78, 655, 682, 409 on a calculator?

You can find the GCD of 78, 655, 682, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.