GCD of 172, 906, 780, 341 Calculator

Given Input numbers are 172, 906, 780, 341

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 172, 906, 780, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 906, 780, 341 is 1.

Therefore, GCD of numbers 172, 906, 780, 341 is 1

Given Input Data is 172, 906, 780, 341

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 341 is 11 x 31

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(172, 906) = 77916

GCD(172, 906) = ( 172 x 906 ) / 77916

GCD(172, 906) = 155832 / 77916

GCD(172, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 341

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

LCM(2, 341) = 682

GCD(2, 341) = ( 2 x 341 ) / 682

GCD(2, 341) = 682 / 682

GCD(2, 341) = 1

GCD of 172, 906, 780, 341 is 1

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1. What is the GCD of 172, 906, 780, 341?

GCD of 172, 906, 780, 341 is 1

2. Where do I get the detailed procedure to find GCD of 172, 906, 780, 341?

You can find a detailed procedure to find GCD of 172, 906, 780, 341 on our page.

3. How to find GCD of 172, 906, 780, 341 on a calculator?

You can find the GCD of 172, 906, 780, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.