GCD of 488, 654, 937, 355 Calculator

Given Input numbers are 488, 654, 937, 355

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 488, 654, 937, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 654, 937, 355 is 1.

Therefore, GCD of numbers 488, 654, 937, 355 is 1

Given Input Data is 488, 654, 937, 355

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 937 is 937

Prime Factorization of 355 is 5 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(488, 654) = 159576

GCD(488, 654) = ( 488 x 654 ) / 159576

GCD(488, 654) = 319152 / 159576

GCD(488, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 937

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

LCM(2, 937) = 1874

GCD(2, 937) = ( 2 x 937 ) / 1874

GCD(2, 937) = 1874 / 1874

GCD(2, 937) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 488, 654, 937, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 977, 135, 194
• GCD of 909, 214, 153, 633
• GCD of 629, 876, 114, 879
• GCD of 297, 602, 150, 215
• GCD of 309, 222, 628, 741

1. What is the GCD of 488, 654, 937, 355?

GCD of 488, 654, 937, 355 is 1

2. Where do I get the detailed procedure to find GCD of 488, 654, 937, 355?

You can find a detailed procedure to find GCD of 488, 654, 937, 355 on our page.

3. How to find GCD of 488, 654, 937, 355 on a calculator?

You can find the GCD of 488, 654, 937, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.