GCD of 564, 778, 838, 384 Calculator

Given Input numbers are 564, 778, 838, 384

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 (564, 778, 838, 384) = 2.

Given numbers are 564, 778, 838, 384

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 778 are 2 x 389

Prime factors of 838 are 2 x 419

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 564, 778, 838, 384 is 2.

Given numbers are 564, 778, 838, 384

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

Apply this formula for all numbers.

Step1:

LCM(564, 778) = 219396

GCD(564, 778) = ( 564 x 778 ) / 219396

= 564 / 778

= 564

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 384) = 384

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

= 2 / 384

= 2

So, Greatest Common Divisor of 564, 778, 838, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 248, 104, 423
• GCD of 337, 643, 145, 591
• GCD of 704, 420, 622, 230
• GCD of 138, 106, 976, 967
• GCD of 784, 364, 733, 736

Given numbers are 564, 778, 838, 384
The greatest common divisor of numbers 564, 778, 838, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 778, 838, 384 is 2.

1. What is the GCD of 564, 778, 838, 384?

GCD of given numbers 564, 778, 838, 384 is 2

2. How to calculate the greatest common divisor of 564, 778, 838, 384?

We can find the highest common divisor of 564, 778, 838, 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 564, 778, 838, 384 i.e 2.

3. How can I use the GCD of 564, 778, 838, 384Calculator?

Out the numbers 564, 778, 838, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.