GCD of 508, 824, 966, 412 Calculator

Given Input numbers are 508, 824, 966, 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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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, 824, 966, 412) = 2.

Given numbers are 508, 824, 966, 412

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 508, 824, 966, 412 is 2.

Given numbers are 508, 824, 966, 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, 824) = 104648

GCD(508, 824) = ( 508 x 824 ) / 104648

= 508 / 824

= 508

Step2:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 508, 824, 966, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 479, 242, 722
• GCD of 973, 105, 165, 372
• GCD of 165, 998, 329, 696
• GCD of 521, 552, 869, 735
• GCD of 206, 952, 241, 930

Given numbers are 508, 824, 966, 412
The greatest common divisor of numbers 508, 824, 966, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 824, 966, 412 is 2.

1. What is the GCD of 508, 824, 966, 412?

GCD of given numbers 508, 824, 966, 412 is 2

2. How to calculate the greatest common divisor of 508, 824, 966, 412?

We can find the highest common divisor of 508, 824, 966, 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, 824, 966, 412 i.e 2.

3. How can I use the GCD of 508, 824, 966, 412Calculator?

Out the numbers 508, 824, 966, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.