GCD of 261, 890, 465, 901 Calculator

Given Input numbers are 261, 890, 465, 901

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 261, 890, 465, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 890, 465, 901 is 1.

Therefore, GCD of numbers 261, 890, 465, 901 is 1

Given Input Data is 261, 890, 465, 901

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 890 is 2 x 5 x 89

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 901 is 17 x 53

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, 890) = 232290

GCD(261, 890) = ( 261 x 890 ) / 232290

GCD(261, 890) = 232290 / 232290

GCD(261, 890) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 261, 890, 465, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 282, 733, 226
• GCD of 726, 729, 278, 976
• GCD of 218, 951, 714, 279
• GCD of 111, 236, 413, 692
• GCD of 916, 752, 925, 959

1. What is the GCD of 261, 890, 465, 901?

GCD of 261, 890, 465, 901 is 1

2. Where do I get the detailed procedure to find GCD of 261, 890, 465, 901?

You can find a detailed procedure to find GCD of 261, 890, 465, 901 on our page.

3. How to find GCD of 261, 890, 465, 901 on a calculator?

You can find the GCD of 261, 890, 465, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.