GCD of 784, 332, 612, 520 Calculator

Given Input numbers are 784, 332, 612, 520

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (784, 332, 612, 520) = 4.

Given numbers are 784, 332, 612, 520

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 332 are 2 x 2 x 83

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 2²

Therefore, GCD of 784, 332, 612, 520 is 4.

Given numbers are 784, 332, 612, 520

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

Apply this formula for all numbers.

Step1:

LCM(784, 332) = 65072

GCD(784, 332) = ( 784 x 332 ) / 65072

= 784 / 332

= 784

Step2:

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

= 4 / 612

= 4

Step3:

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

= 4 / 520

= 4

So, Greatest Common Divisor of 784, 332, 612, 520 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 856, 178, 374
• GCD of 813, 196, 320, 231
• GCD of 497, 968, 424, 680
• GCD of 648, 274, 105, 283
• GCD of 276, 278, 229, 774

Given numbers are 784, 332, 612, 520
The greatest common divisor of numbers 784, 332, 612, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 332, 612, 520 is 4.

1. What is the GCD of 784, 332, 612, 520?

GCD of given numbers 784, 332, 612, 520 is 4

2. How to calculate the greatest common divisor of 784, 332, 612, 520?

We can find the highest common divisor of 784, 332, 612, 520 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, 332, 612, 520 i.e 4.

3. How can I use the GCD of 784, 332, 612, 520Calculator?

Out the numbers 784, 332, 612, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.