GCD of 756, 505, 17, 156 Calculator

Given Input numbers are 756, 505, 17, 156

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 756, 505, 17, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 505, 17, 156 is 1.

Therefore, GCD of numbers 756, 505, 17, 156 is 1

Given Input Data is 756, 505, 17, 156

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 505 is 5 x 101

Prime Factorization of 17 is 17

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(756, 505) = 381780

GCD(756, 505) = ( 756 x 505 ) / 381780

GCD(756, 505) = 381780 / 381780

GCD(756, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 756, 505, 17, 156 is 1

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• GCD of 872, 797, 51, 808
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1. What is the GCD of 756, 505, 17, 156?

GCD of 756, 505, 17, 156 is 1

2. Where do I get the detailed procedure to find GCD of 756, 505, 17, 156?

You can find a detailed procedure to find GCD of 756, 505, 17, 156 on our page.

3. How to find GCD of 756, 505, 17, 156 on a calculator?

You can find the GCD of 756, 505, 17, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.