GCD of 638, 584, 712, 428 Calculator

Given Input numbers are 638, 584, 712, 428

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (638, 584, 712, 428) = 2.

Given numbers are 638, 584, 712, 428

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 638, 584, 712, 428 is 2.

Given numbers are 638, 584, 712, 428

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

Apply this formula for all numbers.

Step1:

LCM(638, 584) = 186296

GCD(638, 584) = ( 638 x 584 ) / 186296

= 638 / 584

= 638

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 638, 584, 712, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 529, 367, 391
• GCD of 975, 263, 152, 930
• GCD of 539, 867, 793, 868
• GCD of 939, 421, 876, 793
• GCD of 525, 763, 202, 692

Given numbers are 638, 584, 712, 428
The greatest common divisor of numbers 638, 584, 712, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 584, 712, 428 is 2.

1. What is the GCD of 638, 584, 712, 428?

GCD of given numbers 638, 584, 712, 428 is 2

2. How to calculate the greatest common divisor of 638, 584, 712, 428?

We can find the highest common divisor of 638, 584, 712, 428 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, 584, 712, 428 i.e 2.

3. How can I use the GCD of 638, 584, 712, 428Calculator?

Out the numbers 638, 584, 712, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.