GCD of 816, 748, 814, 552 Calculator

Given Input numbers are 816, 748, 814, 552

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (816, 748, 814, 552) = 2.

Given numbers are 816, 748, 814, 552

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 814 are 2 x 11 x 37

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 816, 748, 814, 552 is 2.

Given numbers are 816, 748, 814, 552

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, 814) = 27676

GCD(68, 814) = ( 68 x 814 ) / 27676

= 68 / 814

= 68

Step3:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

So, Greatest Common Divisor of 816, 748, 814, 552 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 410, 999, 309
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• GCD of 987, 813, 338, 517

Given numbers are 816, 748, 814, 552
The greatest common divisor of numbers 816, 748, 814, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 748, 814, 552 is 2.

1. What is the GCD of 816, 748, 814, 552?

GCD of given numbers 816, 748, 814, 552 is 2

2. How to calculate the greatest common divisor of 816, 748, 814, 552?

We can find the highest common divisor of 816, 748, 814, 552 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, 814, 552 i.e 2.

3. How can I use the GCD of 816, 748, 814, 552Calculator?

Out the numbers 816, 748, 814, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.