GCD of 512, 516, 408, 124 Calculator

Given Input numbers are 512, 516, 408, 124

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

GCD of numbers is the greatest common divisor

So, the GCD (512, 516, 408, 124) = 4.

Given numbers are 512, 516, 408, 124

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 516 are 2 x 2 x 3 x 43

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 2²

Therefore, GCD of 512, 516, 408, 124 is 4.

Given numbers are 512, 516, 408, 124

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

Apply this formula for all numbers.

Step1:

LCM(512, 516) = 66048

GCD(512, 516) = ( 512 x 516 ) / 66048

= 512 / 516

= 512

Step2:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4

Step3:

LCM(4, 124) = 124

GCD(4, 124) = ( 4 x 124 ) / 124

= 4 / 124

= 4

So, Greatest Common Divisor of 512, 516, 408, 124 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 702, 768, 213
• GCD of 200, 975, 116, 369
• GCD of 559, 717, 293, 802
• GCD of 342, 634, 740, 207
• GCD of 741, 739, 620, 382

Given numbers are 512, 516, 408, 124
The greatest common divisor of numbers 512, 516, 408, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 516, 408, 124 is 4.

1. What is the GCD of 512, 516, 408, 124?

GCD of given numbers 512, 516, 408, 124 is 4

2. How to calculate the greatest common divisor of 512, 516, 408, 124?

We can find the highest common divisor of 512, 516, 408, 124 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, 516, 408, 124 i.e 4.

3. How can I use the GCD of 512, 516, 408, 124Calculator?

Out the numbers 512, 516, 408, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.