GCD of 704, 516, 82 Calculator

Given Input numbers are 704, 516, 82

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

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

GCD of numbers is the greatest common divisor

So, the GCD (704, 516, 82) = 2.

Given numbers are 704, 516, 82

The list of prime factors of all numbers are

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

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 82 are 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 704, 516, 82 is 2.

Given numbers are 704, 516, 82

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

Apply this formula for all numbers.

Step1:

LCM(704, 516) = 90816

GCD(704, 516) = ( 704 x 516 ) / 90816

= 704 / 516

= 704

Step2:

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

= 4 / 82

= 4

So, Greatest Common Divisor of 704, 516, 82 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 315, 10
• GCD of 775, 604, 12
• GCD of 755, 716, 57
• GCD of 196, 525, 97
• GCD of 912, 415, 66

Given numbers are 704, 516, 82
The greatest common divisor of numbers 704, 516, 82 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 516, 82 is 2.

1. What is the GCD of 704, 516, 82?

GCD of given numbers 704, 516, 82 is 2

2. How to calculate the greatest common divisor of 704, 516, 82?

We can find the highest common divisor of 704, 516, 82 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 704, 516, 82 i.e 2.

3. How can I use the GCD of 704, 516, 82Calculator?

Out the numbers 704, 516, 82 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.