GCD of 422, 678, 765, 841 Calculator

Given Input numbers are 422, 678, 765, 841

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 422, 678, 765, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 678, 765, 841 is 1.

Therefore, GCD of numbers 422, 678, 765, 841 is 1

Given Input Data is 422, 678, 765, 841

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 841 is 29 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(422, 678) = 143058

GCD(422, 678) = ( 422 x 678 ) / 143058

GCD(422, 678) = 286116 / 143058

GCD(422, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 422, 678, 765, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 383, 385, 527
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• GCD of 642, 370, 785, 541

1. What is the GCD of 422, 678, 765, 841?

GCD of 422, 678, 765, 841 is 1

2. Where do I get the detailed procedure to find GCD of 422, 678, 765, 841?

You can find a detailed procedure to find GCD of 422, 678, 765, 841 on our page.

3. How to find GCD of 422, 678, 765, 841 on a calculator?

You can find the GCD of 422, 678, 765, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.