GCD of 13, 760, 655, 172 Calculator

Given Input numbers are 13, 760, 655, 172

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 13, 760, 655, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 760, 655, 172 is 1.

Therefore, GCD of numbers 13, 760, 655, 172 is 1

Given Input Data is 13, 760, 655, 172

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

Prime Factorization of 13 is 13

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 655 is 5 x 131

Prime Factorization of 172 is 2 x 2 x 43

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(13, 760) = 9880

GCD(13, 760) = ( 13 x 760 ) / 9880

GCD(13, 760) = 9880 / 9880

GCD(13, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 13, 760, 655, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 575, 841, 425
• GCD of 39, 578, 157, 815
• GCD of 58, 287, 800, 315
• GCD of 14, 214, 420, 750
• GCD of 66, 380, 982, 790

1. What is the GCD of 13, 760, 655, 172?

GCD of 13, 760, 655, 172 is 1

2. Where do I get the detailed procedure to find GCD of 13, 760, 655, 172?

You can find a detailed procedure to find GCD of 13, 760, 655, 172 on our page.

3. How to find GCD of 13, 760, 655, 172 on a calculator?

You can find the GCD of 13, 760, 655, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.