GCD of 638, 580, 232, 686 Calculator

Given Input numbers are 638, 580, 232, 686

In the factoring method, we have to find the divisors of all numbers

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (638, 580, 232, 686) = 2.

Given numbers are 638, 580, 232, 686

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 638, 580, 232, 686 is 2.

Given numbers are 638, 580, 232, 686

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(638, 580) = 6380

GCD(638, 580) = ( 638 x 580 ) / 6380

= 638 / 580

= 638

Step2:

LCM(58, 232) = 232

GCD(58, 232) = ( 58 x 232 ) / 232

= 58 / 232

= 58

Step3:

LCM(58, 686) = 19894

GCD(58, 686) = ( 58 x 686 ) / 19894

= 58 / 686

= 58

So, Greatest Common Divisor of 638, 580, 232, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 132, 211, 427
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• GCD of 370, 848, 685, 233
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• GCD of 402, 594, 118, 642

Given numbers are 638, 580, 232, 686
The greatest common divisor of numbers 638, 580, 232, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 580, 232, 686 is 2.

1. What is the GCD of 638, 580, 232, 686?

GCD of given numbers 638, 580, 232, 686 is 2

2. How to calculate the greatest common divisor of 638, 580, 232, 686?

We can find the highest common divisor of 638, 580, 232, 686 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 638, 580, 232, 686 i.e 2.

3. How can I use the GCD of 638, 580, 232, 686Calculator?

Out the numbers 638, 580, 232, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.