GCD of 538, 784, 660, 384 Calculator

Given Input numbers are 538, 784, 660, 384

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 (538, 784, 660, 384) = 2.

Given numbers are 538, 784, 660, 384

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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 2¹

Therefore, GCD of 538, 784, 660, 384 is 2.

Given numbers are 538, 784, 660, 384

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

Apply this formula for all numbers.

Step1:

LCM(538, 784) = 210896

GCD(538, 784) = ( 538 x 784 ) / 210896

= 538 / 784

= 538

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 538, 784, 660, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 849, 428, 187
• GCD of 282, 765, 102, 714
• GCD of 135, 256, 200, 375
• GCD of 350, 858, 533, 485
• GCD of 593, 341, 946, 877

Given numbers are 538, 784, 660, 384
The greatest common divisor of numbers 538, 784, 660, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 784, 660, 384 is 2.

1. What is the GCD of 538, 784, 660, 384?

GCD of given numbers 538, 784, 660, 384 is 2

2. How to calculate the greatest common divisor of 538, 784, 660, 384?

We can find the highest common divisor of 538, 784, 660, 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 538, 784, 660, 384 i.e 2.

3. How can I use the GCD of 538, 784, 660, 384Calculator?

Out the numbers 538, 784, 660, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.