GCD of 497, 660, 65, 921 Calculator

Given Input numbers are 497, 660, 65, 921

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 497, 660, 65, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 660, 65, 921 is 1.

Therefore, GCD of numbers 497, 660, 65, 921 is 1

Given Input Data is 497, 660, 65, 921

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 921 is 3 x 307

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, 660) = 328020

GCD(497, 660) = ( 497 x 660 ) / 328020

GCD(497, 660) = 328020 / 328020

GCD(497, 660) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 497, 660, 65, 921 is 1

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1. What is the GCD of 497, 660, 65, 921?

GCD of 497, 660, 65, 921 is 1

2. Where do I get the detailed procedure to find GCD of 497, 660, 65, 921?

You can find a detailed procedure to find GCD of 497, 660, 65, 921 on our page.

3. How to find GCD of 497, 660, 65, 921 on a calculator?

You can find the GCD of 497, 660, 65, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.