GCD of 512, 712, 718, 638 Calculator

Given Input numbers are 512, 712, 718, 638

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 712 :

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

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 638 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (512, 712, 718, 638) = 2.

Given numbers are 512, 712, 718, 638

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 718 are 2 x 359

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 512, 712, 718, 638 is 2.

Given numbers are 512, 712, 718, 638

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

Apply this formula for all numbers.

Step1:

LCM(512, 712) = 45568

GCD(512, 712) = ( 512 x 712 ) / 45568

= 512 / 712

= 512

Step2:

LCM(8, 718) = 2872

GCD(8, 718) = ( 8 x 718 ) / 2872

= 8 / 718

= 8

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 512, 712, 718, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 680, 285, 563
• GCD of 991, 943, 951, 282
• GCD of 996, 899, 354, 821
• GCD of 892, 987, 305, 760
• GCD of 979, 748, 755, 763

Given numbers are 512, 712, 718, 638
The greatest common divisor of numbers 512, 712, 718, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 712, 718, 638 is 2.

1. What is the GCD of 512, 712, 718, 638?

GCD of given numbers 512, 712, 718, 638 is 2

2. How to calculate the greatest common divisor of 512, 712, 718, 638?

We can find the highest common divisor of 512, 712, 718, 638 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 512, 712, 718, 638 i.e 2.

3. How can I use the GCD of 512, 712, 718, 638Calculator?

Out the numbers 512, 712, 718, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.