GCD of 538, 384, 851, 828 Calculator

Given Input numbers are 538, 384, 851, 828

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 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

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (538, 384, 851, 828) = 1.

Given numbers are 538, 384, 851, 828

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

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

Prime factors of 851 are 23 x 37

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 538, 384, 851, 828

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

Apply this formula for all numbers.

Step1:

LCM(538, 384) = 103296

GCD(538, 384) = ( 538 x 384 ) / 103296

= 538 / 384

= 538

Step2:

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

= 2 / 851

= 2

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 538, 384, 851, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 888, 602, 659
• GCD of 269, 937, 652, 331
• GCD of 704, 728, 309, 620
• GCD of 117, 644, 320, 173
• GCD of 716, 567, 928, 471

Given numbers are 538, 384, 851, 828
The greatest common divisor of numbers 538, 384, 851, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 384, 851, 828 is 1.

1. What is the GCD of 538, 384, 851, 828?

GCD of given numbers 538, 384, 851, 828 is 1

2. How to calculate the greatest common divisor of 538, 384, 851, 828?

We can find the highest common divisor of 538, 384, 851, 828 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, 384, 851, 828 i.e 1.

3. How can I use the GCD of 538, 384, 851, 828Calculator?

Out the numbers 538, 384, 851, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.