GCD of 261, 820, 64, 730 Calculator

Given Input numbers are 261, 820, 64, 730

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 261, 820, 64, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 820, 64, 730 is 1.

Therefore, GCD of numbers 261, 820, 64, 730 is 1

Given Input Data is 261, 820, 64, 730

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 730 is 2 x 5 x 73

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, 820) = 214020

GCD(261, 820) = ( 261 x 820 ) / 214020

GCD(261, 820) = 214020 / 214020

GCD(261, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 261, 820, 64, 730 is 1

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1. What is the GCD of 261, 820, 64, 730?

GCD of 261, 820, 64, 730 is 1

2. Where do I get the detailed procedure to find GCD of 261, 820, 64, 730?

You can find a detailed procedure to find GCD of 261, 820, 64, 730 on our page.

3. How to find GCD of 261, 820, 64, 730 on a calculator?

You can find the GCD of 261, 820, 64, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.