GCD of 642, 496, 614, 365 Calculator

Given Input numbers are 642, 496, 614, 365

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 642, 496, 614, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 496, 614, 365 is 1.

Therefore, GCD of numbers 642, 496, 614, 365 is 1

Given Input Data is 642, 496, 614, 365

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 614 is 2 x 307

Prime Factorization of 365 is 5 x 73

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(642, 496) = 159216

GCD(642, 496) = ( 642 x 496 ) / 159216

GCD(642, 496) = 318432 / 159216

GCD(642, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

GCD of 642, 496, 614, 365 is 1

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• GCD of 669, 419, 313, 472
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• GCD of 515, 645, 210, 346

1. What is the GCD of 642, 496, 614, 365?

GCD of 642, 496, 614, 365 is 1

2. Where do I get the detailed procedure to find GCD of 642, 496, 614, 365?

You can find a detailed procedure to find GCD of 642, 496, 614, 365 on our page.

3. How to find GCD of 642, 496, 614, 365 on a calculator?

You can find the GCD of 642, 496, 614, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.