GCD of 508, 196, 384 Calculator

Given Input numbers are 508, 196, 384

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (508, 196, 384) = 4.

Given numbers are 508, 196, 384

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 508, 196, 384 is 4.

Given numbers are 508, 196, 384

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

Apply this formula for all numbers.

Step1:

LCM(508, 196) = 24892

GCD(508, 196) = ( 508 x 196 ) / 24892

= 508 / 196

= 508

Step2:

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

= 4 / 384

= 4

So, Greatest Common Divisor of 508, 196, 384 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 850, 414
• GCD of 172, 567, 136
• GCD of 336, 618, 212
• GCD of 782, 135, 920
• GCD of 619, 894, 464

Given numbers are 508, 196, 384
The greatest common divisor of numbers 508, 196, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 196, 384 is 4.

1. What is the GCD of 508, 196, 384?

GCD of given numbers 508, 196, 384 is 4

2. How to calculate the greatest common divisor of 508, 196, 384?

We can find the highest common divisor of 508, 196, 384 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, 196, 384 i.e 4.

3. How can I use the GCD of 508, 196, 384Calculator?

Out the numbers 508, 196, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.