GCD of 195, 657, 769, 532 Calculator

Given Input numbers are 195, 657, 769, 532

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 195, 657, 769, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 657, 769, 532 is 1.

Therefore, GCD of numbers 195, 657, 769, 532 is 1

Given Input Data is 195, 657, 769, 532

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 769 is 769

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(195, 657) = 42705

GCD(195, 657) = ( 195 x 657 ) / 42705

GCD(195, 657) = 128115 / 42705

GCD(195, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 769

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

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

GCD(3, 769) = 2307 / 2307

GCD(3, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 195, 657, 769, 532 is 1

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1. What is the GCD of 195, 657, 769, 532?

GCD of 195, 657, 769, 532 is 1

2. Where do I get the detailed procedure to find GCD of 195, 657, 769, 532?

You can find a detailed procedure to find GCD of 195, 657, 769, 532 on our page.

3. How to find GCD of 195, 657, 769, 532 on a calculator?

You can find the GCD of 195, 657, 769, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.