GCD of 508, 768, 362 Calculator

Given Input numbers are 508, 768, 362

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (508, 768, 362) = 2.

Given numbers are 508, 768, 362

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 508, 768, 362 is 2.

Given numbers are 508, 768, 362

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

Apply this formula for all numbers.

Step1:

LCM(508, 768) = 97536

GCD(508, 768) = ( 508 x 768 ) / 97536

= 508 / 768

= 508

Step2:

LCM(4, 362) = 724

GCD(4, 362) = ( 4 x 362 ) / 724

= 4 / 362

= 4

So, Greatest Common Divisor of 508, 768, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 683, 171
• GCD of 442, 229, 401
• GCD of 406, 988, 134
• GCD of 848, 973, 221
• GCD of 426, 724, 171

Given numbers are 508, 768, 362
The greatest common divisor of numbers 508, 768, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 768, 362 is 2.

1. What is the GCD of 508, 768, 362?

GCD of given numbers 508, 768, 362 is 2

2. How to calculate the greatest common divisor of 508, 768, 362?

We can find the highest common divisor of 508, 768, 362 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, 768, 362 i.e 2.

3. How can I use the GCD of 508, 768, 362Calculator?

Out the numbers 508, 768, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.