GCD of 360, 736, 583, 790 Calculator

Given Input numbers are 360, 736, 583, 790

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

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

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 360, 736, 583, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 736, 583, 790 is 1.

Therefore, GCD of numbers 360, 736, 583, 790 is 1

Given Input Data is 360, 736, 583, 790

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

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

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 790 is 2 x 5 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(360, 736) = 33120

GCD(360, 736) = ( 360 x 736 ) / 33120

GCD(360, 736) = 264960 / 33120

GCD(360, 736) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 583

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

LCM(8, 583) = 4664

GCD(8, 583) = ( 8 x 583 ) / 4664

GCD(8, 583) = 4664 / 4664

GCD(8, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 360, 736, 583, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 394, 778, 651
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• GCD of 382, 690, 340, 844
• GCD of 251, 722, 184, 821

1. What is the GCD of 360, 736, 583, 790?

GCD of 360, 736, 583, 790 is 1

2. Where do I get the detailed procedure to find GCD of 360, 736, 583, 790?

You can find a detailed procedure to find GCD of 360, 736, 583, 790 on our page.

3. How to find GCD of 360, 736, 583, 790 on a calculator?

You can find the GCD of 360, 736, 583, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.