GCD of 505, 756, 338, 786 Calculator

Given Input numbers are 505, 756, 338, 786

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

Divisors of 505

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

1, 5, 101, 505

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 505, 756, 338, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 756, 338, 786 is 1.

Therefore, GCD of numbers 505, 756, 338, 786 is 1

Given Input Data is 505, 756, 338, 786

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

Prime Factorization of 505 is 5 x 101

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 786 is 2 x 3 x 131

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(505, 756) = 381780

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

GCD(505, 756) = 381780 / 381780

GCD(505, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 505, 756, 338, 786 is 1

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1. What is the GCD of 505, 756, 338, 786?

GCD of 505, 756, 338, 786 is 1

2. Where do I get the detailed procedure to find GCD of 505, 756, 338, 786?

You can find a detailed procedure to find GCD of 505, 756, 338, 786 on our page.

3. How to find GCD of 505, 756, 338, 786 on a calculator?

You can find the GCD of 505, 756, 338, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.