GCD of 784, 704, 218, 522 Calculator

Given Input numbers are 784, 704, 218, 522

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

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (784, 704, 218, 522) = 2.

Given numbers are 784, 704, 218, 522

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 218 are 2 x 109

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 784, 704, 218, 522 is 2.

Given numbers are 784, 704, 218, 522

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

Apply this formula for all numbers.

Step1:

LCM(784, 704) = 34496

GCD(784, 704) = ( 784 x 704 ) / 34496

= 784 / 704

= 784

Step2:

LCM(16, 218) = 1744

GCD(16, 218) = ( 16 x 218 ) / 1744

= 16 / 218

= 16

Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 784, 704, 218, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 241, 206, 677
• GCD of 819, 245, 170, 267
• GCD of 416, 304, 935, 550
• GCD of 275, 411, 261, 696
• GCD of 597, 852, 145, 309

Given numbers are 784, 704, 218, 522
The greatest common divisor of numbers 784, 704, 218, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 704, 218, 522 is 2.

1. What is the GCD of 784, 704, 218, 522?

GCD of given numbers 784, 704, 218, 522 is 2

2. How to calculate the greatest common divisor of 784, 704, 218, 522?

We can find the highest common divisor of 784, 704, 218, 522 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 784, 704, 218, 522 i.e 2.

3. How can I use the GCD of 784, 704, 218, 522Calculator?

Out the numbers 784, 704, 218, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.