GCD of 459, 761, 20, 971 Calculator

Given Input numbers are 459, 761, 20, 971

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 459, 761, 20, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 761, 20, 971 is 1.

Therefore, GCD of numbers 459, 761, 20, 971 is 1

Given Input Data is 459, 761, 20, 971

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 761 is 761

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 971 is 971

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(459, 761) = 349299

GCD(459, 761) = ( 459 x 761 ) / 349299

GCD(459, 761) = 349299 / 349299

GCD(459, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 459, 761, 20, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 554, 57, 961
• GCD of 931, 538, 45, 624
• GCD of 429, 212, 30, 430
• GCD of 737, 371, 24, 582
• GCD of 714, 184, 14, 823

1. What is the GCD of 459, 761, 20, 971?

GCD of 459, 761, 20, 971 is 1

2. Where do I get the detailed procedure to find GCD of 459, 761, 20, 971?

You can find a detailed procedure to find GCD of 459, 761, 20, 971 on our page.

3. How to find GCD of 459, 761, 20, 971 on a calculator?

You can find the GCD of 459, 761, 20, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.