GCD of 736, 763, 23, 684 Calculator

Given Input numbers are 736, 763, 23, 684

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 736, 763, 23, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 763, 23, 684 is 1.

Therefore, GCD of numbers 736, 763, 23, 684 is 1

Given Input Data is 736, 763, 23, 684

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 763 is 7 x 109

Prime Factorization of 23 is 23

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(736, 763) = 561568

GCD(736, 763) = ( 736 x 763 ) / 561568

GCD(736, 763) = 561568 / 561568

GCD(736, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 736, 763, 23, 684 is 1

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1. What is the GCD of 736, 763, 23, 684?

GCD of 736, 763, 23, 684 is 1

2. Where do I get the detailed procedure to find GCD of 736, 763, 23, 684?

You can find a detailed procedure to find GCD of 736, 763, 23, 684 on our page.

3. How to find GCD of 736, 763, 23, 684 on a calculator?

You can find the GCD of 736, 763, 23, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.