GCD of 657, 120, 73, 497 Calculator

Given Input numbers are 657, 120, 73, 497

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 497

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

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 657, 120, 73, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 120, 73, 497 is 1.

Therefore, GCD of numbers 657, 120, 73, 497 is 1

Given Input Data is 657, 120, 73, 497

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 73 is 73

Prime Factorization of 497 is 7 x 71

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(657, 120) = 26280

GCD(657, 120) = ( 657 x 120 ) / 26280

GCD(657, 120) = 78840 / 26280

GCD(657, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 657, 120, 73, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 496, 45, 534
• GCD of 513, 204, 75, 608
• GCD of 657, 245, 82, 652
• GCD of 709, 244, 99, 930
• GCD of 257, 414, 49, 146

1. What is the GCD of 657, 120, 73, 497?

GCD of 657, 120, 73, 497 is 1

2. Where do I get the detailed procedure to find GCD of 657, 120, 73, 497?

You can find a detailed procedure to find GCD of 657, 120, 73, 497 on our page.

3. How to find GCD of 657, 120, 73, 497 on a calculator?

You can find the GCD of 657, 120, 73, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.