GCD of 635, 278, 596, 669 Calculator

Given Input numbers are 635, 278, 596, 669

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 635, 278, 596, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 278, 596, 669 is 1.

Therefore, GCD of numbers 635, 278, 596, 669 is 1

Given Input Data is 635, 278, 596, 669

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 278 is 2 x 139

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 669 is 3 x 223

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(635, 278) = 176530

GCD(635, 278) = ( 635 x 278 ) / 176530

GCD(635, 278) = 176530 / 176530

GCD(635, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 635, 278, 596, 669 is 1

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1. What is the GCD of 635, 278, 596, 669?

GCD of 635, 278, 596, 669 is 1

2. Where do I get the detailed procedure to find GCD of 635, 278, 596, 669?

You can find a detailed procedure to find GCD of 635, 278, 596, 669 on our page.

3. How to find GCD of 635, 278, 596, 669 on a calculator?

You can find the GCD of 635, 278, 596, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.