GCD of 516, 508, 208, 348 Calculator

Given Input numbers are 516, 508, 208, 348

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

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 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (516, 508, 208, 348) = 4.

Given numbers are 516, 508, 208, 348

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 508 are 2 x 2 x 127

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2²

Therefore, GCD of 516, 508, 208, 348 is 4.

Given numbers are 516, 508, 208, 348

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

Apply this formula for all numbers.

Step1:

LCM(516, 508) = 65532

GCD(516, 508) = ( 516 x 508 ) / 65532

= 516 / 508

= 516

Step2:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4

Step3:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

So, Greatest Common Divisor of 516, 508, 208, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 433, 510, 102
• GCD of 689, 178, 740, 625
• GCD of 478, 867, 948, 497
• GCD of 433, 199, 444, 979
• GCD of 259, 335, 458, 684

Given numbers are 516, 508, 208, 348
The greatest common divisor of numbers 516, 508, 208, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 508, 208, 348 is 4.

1. What is the GCD of 516, 508, 208, 348?

GCD of given numbers 516, 508, 208, 348 is 4

2. How to calculate the greatest common divisor of 516, 508, 208, 348?

We can find the highest common divisor of 516, 508, 208, 348 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 516, 508, 208, 348 i.e 4.

3. How can I use the GCD of 516, 508, 208, 348Calculator?

Out the numbers 516, 508, 208, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.