GCD of 276, 816, 314, 636 Calculator

Given Input numbers are 276, 816, 314, 636

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (276, 816, 314, 636) = 2.

Given numbers are 276, 816, 314, 636

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

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

Prime factors of 314 are 2 x 157

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 276, 816, 314, 636 is 2.

Given numbers are 276, 816, 314, 636

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

Apply this formula for all numbers.

Step1:

LCM(276, 816) = 18768

GCD(276, 816) = ( 276 x 816 ) / 18768

= 276 / 816

= 276

Step2:

LCM(12, 314) = 1884

GCD(12, 314) = ( 12 x 314 ) / 1884

= 12 / 314

= 12

Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

So, Greatest Common Divisor of 276, 816, 314, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 264, 592, 253
• GCD of 543, 913, 881, 677
• GCD of 334, 895, 488, 647
• GCD of 818, 339, 507, 231
• GCD of 773, 105, 776, 671

Given numbers are 276, 816, 314, 636
The greatest common divisor of numbers 276, 816, 314, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 816, 314, 636 is 2.

1. What is the GCD of 276, 816, 314, 636?

GCD of given numbers 276, 816, 314, 636 is 2

2. How to calculate the greatest common divisor of 276, 816, 314, 636?

We can find the highest common divisor of 276, 816, 314, 636 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 276, 816, 314, 636 i.e 2.

3. How can I use the GCD of 276, 816, 314, 636Calculator?

Out the numbers 276, 816, 314, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.