GCD of 42, 299, 765, 647 Calculator

Given Input numbers are 42, 299, 765, 647

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 42, 299, 765, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 299, 765, 647 is 1.

Therefore, GCD of numbers 42, 299, 765, 647 is 1

Given Input Data is 42, 299, 765, 647

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 299 is 13 x 23

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

Prime Factorization of 647 is 647

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(42, 299) = 12558

GCD(42, 299) = ( 42 x 299 ) / 12558

GCD(42, 299) = 12558 / 12558

GCD(42, 299) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 42, 299, 765, 647 is 1

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1. What is the GCD of 42, 299, 765, 647?

GCD of 42, 299, 765, 647 is 1

2. Where do I get the detailed procedure to find GCD of 42, 299, 765, 647?

You can find a detailed procedure to find GCD of 42, 299, 765, 647 on our page.

3. How to find GCD of 42, 299, 765, 647 on a calculator?

You can find the GCD of 42, 299, 765, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.