GCD of 508, 576, 228, 694 Calculator

Given Input numbers are 508, 576, 228, 694

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (508, 576, 228, 694) = 2.

Given numbers are 508, 576, 228, 694

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 508, 576, 228, 694 is 2.

Given numbers are 508, 576, 228, 694

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

Apply this formula for all numbers.

Step1:

LCM(508, 576) = 73152

GCD(508, 576) = ( 508 x 576 ) / 73152

= 508 / 576

= 508

Step2:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4

Step3:

LCM(4, 694) = 1388

GCD(4, 694) = ( 4 x 694 ) / 1388

= 4 / 694

= 4

So, Greatest Common Divisor of 508, 576, 228, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 390, 133, 710
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• GCD of 527, 182, 587, 791
• GCD of 477, 900, 996, 764

Given numbers are 508, 576, 228, 694
The greatest common divisor of numbers 508, 576, 228, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 576, 228, 694 is 2.

1. What is the GCD of 508, 576, 228, 694?

GCD of given numbers 508, 576, 228, 694 is 2

2. How to calculate the greatest common divisor of 508, 576, 228, 694?

We can find the highest common divisor of 508, 576, 228, 694 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, 576, 228, 694 i.e 2.

3. How can I use the GCD of 508, 576, 228, 694Calculator?

Out the numbers 508, 576, 228, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.