GCD of 508, 612, 988, 412 Calculator

Given Input numbers are 508, 612, 988, 412

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (508, 612, 988, 412) = 4.

Given numbers are 508, 612, 988, 412

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2²

Therefore, GCD of 508, 612, 988, 412 is 4.

Given numbers are 508, 612, 988, 412

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

Apply this formula for all numbers.

Step1:

LCM(508, 612) = 77724

GCD(508, 612) = ( 508 x 612 ) / 77724

= 508 / 612

= 508

Step2:

LCM(4, 988) = 988

GCD(4, 988) = ( 4 x 988 ) / 988

= 4 / 988

= 4

Step3:

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

= 4 / 412

= 4

So, Greatest Common Divisor of 508, 612, 988, 412 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 808, 109, 825
• GCD of 847, 649, 829, 885
• GCD of 727, 571, 635, 711
• GCD of 340, 658, 119, 345
• GCD of 581, 298, 339, 671

Given numbers are 508, 612, 988, 412
The greatest common divisor of numbers 508, 612, 988, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 612, 988, 412 is 4.

1. What is the GCD of 508, 612, 988, 412?

GCD of given numbers 508, 612, 988, 412 is 4

2. How to calculate the greatest common divisor of 508, 612, 988, 412?

We can find the highest common divisor of 508, 612, 988, 412 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 508, 612, 988, 412 i.e 4.

3. How can I use the GCD of 508, 612, 988, 412Calculator?

Out the numbers 508, 612, 988, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.