GCD of 664, 142, 642, 297 Calculator

Given Input numbers are 664, 142, 642, 297

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 664, 142, 642, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 142, 642, 297 is 1.

Therefore, GCD of numbers 664, 142, 642, 297 is 1

Given Input Data is 664, 142, 642, 297

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 142 is 2 x 71

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(664, 142) = 47144

GCD(664, 142) = ( 664 x 142 ) / 47144

GCD(664, 142) = 94288 / 47144

GCD(664, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 664, 142, 642, 297 is 1

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1. What is the GCD of 664, 142, 642, 297?

GCD of 664, 142, 642, 297 is 1

2. Where do I get the detailed procedure to find GCD of 664, 142, 642, 297?

You can find a detailed procedure to find GCD of 664, 142, 642, 297 on our page.

3. How to find GCD of 664, 142, 642, 297 on a calculator?

You can find the GCD of 664, 142, 642, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.