GCD of 520, 722, 812, 916 Calculator

Given Input numbers are 520, 722, 812, 916

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

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (520, 722, 812, 916) = 2.

Given numbers are 520, 722, 812, 916

The list of prime factors of all numbers are

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

Prime factors of 722 are 2 x 19 x 19

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 520, 722, 812, 916 is 2.

Given numbers are 520, 722, 812, 916

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

Apply this formula for all numbers.

Step1:

LCM(520, 722) = 187720

GCD(520, 722) = ( 520 x 722 ) / 187720

= 520 / 722

= 520

Step2:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 520, 722, 812, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 353, 641, 219
• GCD of 970, 269, 547, 183
• GCD of 406, 859, 349, 315
• GCD of 806, 571, 411, 624
• GCD of 305, 739, 753, 588

Given numbers are 520, 722, 812, 916
The greatest common divisor of numbers 520, 722, 812, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 722, 812, 916 is 2.

1. What is the GCD of 520, 722, 812, 916?

GCD of given numbers 520, 722, 812, 916 is 2

2. How to calculate the greatest common divisor of 520, 722, 812, 916?

We can find the highest common divisor of 520, 722, 812, 916 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 520, 722, 812, 916 i.e 2.

3. How can I use the GCD of 520, 722, 812, 916Calculator?

Out the numbers 520, 722, 812, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.