GCD of 723, 137, 856, 360 Calculator

Given Input numbers are 723, 137, 856, 360

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 723, 137, 856, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 137, 856, 360 is 1.

Therefore, GCD of numbers 723, 137, 856, 360 is 1

Given Input Data is 723, 137, 856, 360

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 137 is 137

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(723, 137) = 99051

GCD(723, 137) = ( 723 x 137 ) / 99051

GCD(723, 137) = 99051 / 99051

GCD(723, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 723, 137, 856, 360 is 1

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• GCD of 577, 333, 487, 469
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1. What is the GCD of 723, 137, 856, 360?

GCD of 723, 137, 856, 360 is 1

2. Where do I get the detailed procedure to find GCD of 723, 137, 856, 360?

You can find a detailed procedure to find GCD of 723, 137, 856, 360 on our page.

3. How to find GCD of 723, 137, 856, 360 on a calculator?

You can find the GCD of 723, 137, 856, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.