GCD of 657, 960, 74, 586 Calculator

Given Input numbers are 657, 960, 74, 586

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 657, 960, 74, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 960, 74, 586 is 1.

Therefore, GCD of numbers 657, 960, 74, 586 is 1

Given Input Data is 657, 960, 74, 586

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 586 is 2 x 293

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, 960) = 210240

GCD(657, 960) = ( 657 x 960 ) / 210240

GCD(657, 960) = 630720 / 210240

GCD(657, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 657, 960, 74, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 423, 66, 308
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• GCD of 327, 391, 51, 303
• GCD of 794, 998, 52, 111
• GCD of 704, 366, 53, 468

1. What is the GCD of 657, 960, 74, 586?

GCD of 657, 960, 74, 586 is 1

2. Where do I get the detailed procedure to find GCD of 657, 960, 74, 586?

You can find a detailed procedure to find GCD of 657, 960, 74, 586 on our page.

3. How to find GCD of 657, 960, 74, 586 on a calculator?

You can find the GCD of 657, 960, 74, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.