GCD of 78, 646, 355, 435 Calculator

Given Input numbers are 78, 646, 355, 435

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 78, 646, 355, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 646, 355, 435 is 1.

Therefore, GCD of numbers 78, 646, 355, 435 is 1

Given Input Data is 78, 646, 355, 435

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 646 is 2 x 17 x 19

Prime Factorization of 355 is 5 x 71

Prime Factorization of 435 is 3 x 5 x 29

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, 646) = 25194

GCD(78, 646) = ( 78 x 646 ) / 25194

GCD(78, 646) = 50388 / 25194

GCD(78, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 78, 646, 355, 435 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 992, 929, 694
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• GCD of 89, 259, 527, 793
• GCD of 47, 594, 640, 539
• GCD of 15, 848, 326, 770

1. What is the GCD of 78, 646, 355, 435?

GCD of 78, 646, 355, 435 is 1

2. Where do I get the detailed procedure to find GCD of 78, 646, 355, 435?

You can find a detailed procedure to find GCD of 78, 646, 355, 435 on our page.

3. How to find GCD of 78, 646, 355, 435 on a calculator?

You can find the GCD of 78, 646, 355, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.