GCD of 816, 748, 530, 518 Calculator

Given Input numbers are 816, 748, 530, 518

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (816, 748, 530, 518) = 2.

Given numbers are 816, 748, 530, 518

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 530 are 2 x 5 x 53

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 816, 748, 530, 518 is 2.

Given numbers are 816, 748, 530, 518

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

Apply this formula for all numbers.

Step1:

LCM(816, 748) = 8976

GCD(816, 748) = ( 816 x 748 ) / 8976

= 816 / 748

= 816

Step2:

LCM(68, 530) = 18020

GCD(68, 530) = ( 68 x 530 ) / 18020

= 68 / 530

= 68

Step3:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 816, 748, 530, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 615, 252, 852
• GCD of 505, 635, 949, 454
• GCD of 832, 865, 363, 827
• GCD of 139, 449, 140, 615
• GCD of 386, 262, 889, 109

Given numbers are 816, 748, 530, 518
The greatest common divisor of numbers 816, 748, 530, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 748, 530, 518 is 2.

1. What is the GCD of 816, 748, 530, 518?

GCD of given numbers 816, 748, 530, 518 is 2

2. How to calculate the greatest common divisor of 816, 748, 530, 518?

We can find the highest common divisor of 816, 748, 530, 518 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 816, 748, 530, 518 i.e 2.

3. How can I use the GCD of 816, 748, 530, 518Calculator?

Out the numbers 816, 748, 530, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.