GCD of 497, 572, 922, 505 Calculator

Given Input numbers are 497, 572, 922, 505

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 922

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

1, 2, 461, 922

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 497, 572, 922, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 572, 922, 505 is 1.

Therefore, GCD of numbers 497, 572, 922, 505 is 1

Given Input Data is 497, 572, 922, 505

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 922 is 2 x 461

Prime Factorization of 505 is 5 x 101

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(497, 572) = 284284

GCD(497, 572) = ( 497 x 572 ) / 284284

GCD(497, 572) = 284284 / 284284

GCD(497, 572) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 497, 572, 922, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 729, 369, 548
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• GCD of 127, 638, 692, 313
• GCD of 112, 860, 769, 504
• GCD of 366, 783, 418, 952

1. What is the GCD of 497, 572, 922, 505?

GCD of 497, 572, 922, 505 is 1

2. Where do I get the detailed procedure to find GCD of 497, 572, 922, 505?

You can find a detailed procedure to find GCD of 497, 572, 922, 505 on our page.

3. How to find GCD of 497, 572, 922, 505 on a calculator?

You can find the GCD of 497, 572, 922, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.