GCD of 806, 960, 138, 516 Calculator

Given Input numbers are 806, 960, 138, 516

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

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

GCD of numbers is the greatest common divisor

So, the GCD (806, 960, 138, 516) = 2.

Given numbers are 806, 960, 138, 516

The list of prime factors of all numbers are

Prime factors of 806 are 2 x 13 x 31

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 806, 960, 138, 516 is 2.

Given numbers are 806, 960, 138, 516

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

Apply this formula for all numbers.

Step1:

LCM(806, 960) = 386880

GCD(806, 960) = ( 806 x 960 ) / 386880

= 806 / 960

= 806

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 806, 960, 138, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 153, 485, 996
• GCD of 357, 468, 267, 677
• GCD of 600, 437, 222, 998
• GCD of 564, 966, 811, 759
• GCD of 407, 531, 205, 798

Given numbers are 806, 960, 138, 516
The greatest common divisor of numbers 806, 960, 138, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 806, 960, 138, 516 is 2.

1. What is the GCD of 806, 960, 138, 516?

GCD of given numbers 806, 960, 138, 516 is 2

2. How to calculate the greatest common divisor of 806, 960, 138, 516?

We can find the highest common divisor of 806, 960, 138, 516 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 806, 960, 138, 516 i.e 2.

3. How can I use the GCD of 806, 960, 138, 516Calculator?

Out the numbers 806, 960, 138, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.