GCD of 765, 502, 229, 642 Calculator

Given Input numbers are 765, 502, 229, 642

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

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 765, 502, 229, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 502, 229, 642 is 1.

Therefore, GCD of numbers 765, 502, 229, 642 is 1

Given Input Data is 765, 502, 229, 642

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

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 229 is 229

Prime Factorization of 642 is 2 x 3 x 107

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(765, 502) = 384030

GCD(765, 502) = ( 765 x 502 ) / 384030

GCD(765, 502) = 384030 / 384030

GCD(765, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 765, 502, 229, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 381, 730, 550
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• GCD of 813, 942, 554, 397

1. What is the GCD of 765, 502, 229, 642?

GCD of 765, 502, 229, 642 is 1

2. Where do I get the detailed procedure to find GCD of 765, 502, 229, 642?

You can find a detailed procedure to find GCD of 765, 502, 229, 642 on our page.

3. How to find GCD of 765, 502, 229, 642 on a calculator?

You can find the GCD of 765, 502, 229, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.