GCD of 753, 560, 756, 383 Calculator

Given Input numbers are 753, 560, 756, 383

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 753, 560, 756, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 560, 756, 383 is 1.

Therefore, GCD of numbers 753, 560, 756, 383 is 1

Given Input Data is 753, 560, 756, 383

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 383 is 383

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(753, 560) = 421680

GCD(753, 560) = ( 753 x 560 ) / 421680

GCD(753, 560) = 421680 / 421680

GCD(753, 560) = 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 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 753, 560, 756, 383 is 1

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1. What is the GCD of 753, 560, 756, 383?

GCD of 753, 560, 756, 383 is 1

2. Where do I get the detailed procedure to find GCD of 753, 560, 756, 383?

You can find a detailed procedure to find GCD of 753, 560, 756, 383 on our page.

3. How to find GCD of 753, 560, 756, 383 on a calculator?

You can find the GCD of 753, 560, 756, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.