GCD of 922, 253, 362, 461 Calculator

Given Input numbers are 922, 253, 362, 461

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

Divisors of 922

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

1, 2, 461, 922

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 922, 253, 362, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 253, 362, 461 is 1.

Therefore, GCD of numbers 922, 253, 362, 461 is 1

Given Input Data is 922, 253, 362, 461

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 253 is 11 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 461 is 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(922, 253) = 233266

GCD(922, 253) = ( 922 x 253 ) / 233266

GCD(922, 253) = 233266 / 233266

GCD(922, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 922, 253, 362, 461 is 1

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1. What is the GCD of 922, 253, 362, 461?

GCD of 922, 253, 362, 461 is 1

2. Where do I get the detailed procedure to find GCD of 922, 253, 362, 461?

You can find a detailed procedure to find GCD of 922, 253, 362, 461 on our page.

3. How to find GCD of 922, 253, 362, 461 on a calculator?

You can find the GCD of 922, 253, 362, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.