GCD of 638, 228, 464, 508 Calculator

Given Input numbers are 638, 228, 464, 508

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (638, 228, 464, 508) = 2.

Given numbers are 638, 228, 464, 508

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 638, 228, 464, 508 is 2.

Given numbers are 638, 228, 464, 508

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

Apply this formula for all numbers.

Step1:

LCM(638, 228) = 72732

GCD(638, 228) = ( 638 x 228 ) / 72732

= 638 / 228

= 638

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 638, 228, 464, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 842, 303, 368
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Given numbers are 638, 228, 464, 508
The greatest common divisor of numbers 638, 228, 464, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 228, 464, 508 is 2.

1. What is the GCD of 638, 228, 464, 508?

GCD of given numbers 638, 228, 464, 508 is 2

2. How to calculate the greatest common divisor of 638, 228, 464, 508?

We can find the highest common divisor of 638, 228, 464, 508 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 638, 228, 464, 508 i.e 2.

3. How can I use the GCD of 638, 228, 464, 508Calculator?

Out the numbers 638, 228, 464, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.