GCD of 242, 817, 667, 765 Calculator

Given Input numbers are 242, 817, 667, 765

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

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

Greatest Common Divisior

We found the divisors of 242, 817, 667, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 817, 667, 765 is 1.

Therefore, GCD of numbers 242, 817, 667, 765 is 1

Given Input Data is 242, 817, 667, 765

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 817 is 19 x 43

Prime Factorization of 667 is 23 x 29

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

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(242, 817) = 197714

GCD(242, 817) = ( 242 x 817 ) / 197714

GCD(242, 817) = 197714 / 197714

GCD(242, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 242, 817, 667, 765 is 1

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1. What is the GCD of 242, 817, 667, 765?

GCD of 242, 817, 667, 765 is 1

2. Where do I get the detailed procedure to find GCD of 242, 817, 667, 765?

You can find a detailed procedure to find GCD of 242, 817, 667, 765 on our page.

3. How to find GCD of 242, 817, 667, 765 on a calculator?

You can find the GCD of 242, 817, 667, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.