GCD of 261, 436, 464, 765 Calculator

Given Input numbers are 261, 436, 464, 765

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 261, 436, 464, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 436, 464, 765 is 1.

Therefore, GCD of numbers 261, 436, 464, 765 is 1

Given Input Data is 261, 436, 464, 765

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 464 is 2 x 2 x 2 x 2 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(261, 436) = 113796

GCD(261, 436) = ( 261 x 436 ) / 113796

GCD(261, 436) = 113796 / 113796

GCD(261, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 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 261, 436, 464, 765 is 1

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1. What is the GCD of 261, 436, 464, 765?

GCD of 261, 436, 464, 765 is 1

2. Where do I get the detailed procedure to find GCD of 261, 436, 464, 765?

You can find a detailed procedure to find GCD of 261, 436, 464, 765 on our page.

3. How to find GCD of 261, 436, 464, 765 on a calculator?

You can find the GCD of 261, 436, 464, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.