GCD of 518, 616, 238 Calculator

Given Input numbers are 518, 616, 238

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (518, 616, 238) = 14.

Given numbers are 518, 616, 238

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 518, 616, 238 is 14.

Given numbers are 518, 616, 238

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

Apply this formula for all numbers.

Step1:

LCM(518, 616) = 22792

GCD(518, 616) = ( 518 x 616 ) / 22792

= 518 / 616

= 518

Step2:

LCM(14, 238) = 238

GCD(14, 238) = ( 14 x 238 ) / 238

= 14 / 238

= 14

So, Greatest Common Divisor of 518, 616, 238 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 218, 283
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Given numbers are 518, 616, 238
The greatest common divisor of numbers 518, 616, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 616, 238 is 14.

1. What is the GCD of 518, 616, 238?

GCD of given numbers 518, 616, 238 is 14

2. How to calculate the greatest common divisor of 518, 616, 238?

We can find the highest common divisor of 518, 616, 238 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 518, 616, 238 i.e 14.

3. How can I use the GCD of 518, 616, 238Calculator?

Out the numbers 518, 616, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.