GCD of 505, 752, 756, 869 Calculator

Given Input numbers are 505, 752, 756, 869

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 505, 752, 756, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 752, 756, 869 is 1.

Therefore, GCD of numbers 505, 752, 756, 869 is 1

Given Input Data is 505, 752, 756, 869

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

Prime Factorization of 869 is 11 x 79

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, 752) = 379760

GCD(505, 752) = ( 505 x 752 ) / 379760

GCD(505, 752) = 379760 / 379760

GCD(505, 752) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 505, 752, 756, 869 is 1

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1. What is the GCD of 505, 752, 756, 869?

GCD of 505, 752, 756, 869 is 1

2. Where do I get the detailed procedure to find GCD of 505, 752, 756, 869?

You can find a detailed procedure to find GCD of 505, 752, 756, 869 on our page.

3. How to find GCD of 505, 752, 756, 869 on a calculator?

You can find the GCD of 505, 752, 756, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.