GCD of 705, 516, 696, 520 Calculator

Given Input numbers are 705, 516, 696, 520

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 (705, 516, 696, 520) = 1.

Given numbers are 705, 516, 696, 520

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

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

Given numbers are 705, 516, 696, 520

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

Apply this formula for all numbers.

Step1:

LCM(705, 516) = 121260

GCD(705, 516) = ( 705 x 516 ) / 121260

= 705 / 516

= 705

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

Step3:

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

= 3 / 520

= 3

So, Greatest Common Divisor of 705, 516, 696, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 287, 311, 132
• GCD of 705, 578, 387, 234
• GCD of 449, 505, 107, 844
• GCD of 820, 814, 910, 416
• GCD of 574, 732, 180, 898

Given numbers are 705, 516, 696, 520
The greatest common divisor of numbers 705, 516, 696, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 516, 696, 520 is 1.

1. What is the GCD of 705, 516, 696, 520?

GCD of given numbers 705, 516, 696, 520 is 1

2. How to calculate the greatest common divisor of 705, 516, 696, 520?

We can find the highest common divisor of 705, 516, 696, 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 705, 516, 696, 520 i.e 1.

3. How can I use the GCD of 705, 516, 696, 520Calculator?

Out the numbers 705, 516, 696, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.