GCD of 465, 364, 922 Calculator

Given Input numbers are 465, 364, 922

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

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 465, 364, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 364, 922 is 1.

Therefore, GCD of numbers 465, 364, 922 is 1

Given Input Data is 465, 364, 922

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 922 is 2 x 461

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(465, 364) = 169260

GCD(465, 364) = ( 465 x 364 ) / 169260

GCD(465, 364) = 169260 / 169260

GCD(465, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 465, 364, 922 is 1

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1. What is the GCD of 465, 364, 922?

GCD of 465, 364, 922 is 1

2. Where do I get the detailed procedure to find GCD of 465, 364, 922?

You can find a detailed procedure to find GCD of 465, 364, 922 on our page.

3. How to find GCD of 465, 364, 922 on a calculator?

You can find the GCD of 465, 364, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.