GCD of 397, 301, 947, 465 Calculator

Given Input numbers are 397, 301, 947, 465

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 465

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

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

Greatest Common Divisior

We found the divisors of 397, 301, 947, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 301, 947, 465 is 1.

Therefore, GCD of numbers 397, 301, 947, 465 is 1

Given Input Data is 397, 301, 947, 465

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

Prime Factorization of 397 is 397

Prime Factorization of 301 is 7 x 43

Prime Factorization of 947 is 947

Prime Factorization of 465 is 3 x 5 x 31

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(397, 301) = 119497

GCD(397, 301) = ( 397 x 301 ) / 119497

GCD(397, 301) = 119497 / 119497

GCD(397, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

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

GCD of 397, 301, 947, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 754, 978, 550
• GCD of 627, 501, 910, 391
• GCD of 731, 321, 252, 763
• GCD of 728, 754, 770, 769
• GCD of 674, 755, 584, 708

1. What is the GCD of 397, 301, 947, 465?

GCD of 397, 301, 947, 465 is 1

2. Where do I get the detailed procedure to find GCD of 397, 301, 947, 465?

You can find a detailed procedure to find GCD of 397, 301, 947, 465 on our page.

3. How to find GCD of 397, 301, 947, 465 on a calculator?

You can find the GCD of 397, 301, 947, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.