GCD of 276, 808, 456, 108 Calculator

Given Input numbers are 276, 808, 456, 108

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (276, 808, 456, 108) = 4.

Given numbers are 276, 808, 456, 108

The list of prime factors of all numbers are

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

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 276, 808, 456, 108 is 4.

Given numbers are 276, 808, 456, 108

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

Apply this formula for all numbers.

Step1:

LCM(276, 808) = 55752

GCD(276, 808) = ( 276 x 808 ) / 55752

= 276 / 808

= 276

Step2:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

Step3:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

So, Greatest Common Divisor of 276, 808, 456, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 876, 282, 480
• GCD of 451, 921, 325, 519
• GCD of 412, 155, 620, 194
• GCD of 825, 996, 259, 844
• GCD of 240, 735, 735, 597

Given numbers are 276, 808, 456, 108
The greatest common divisor of numbers 276, 808, 456, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 808, 456, 108 is 4.

1. What is the GCD of 276, 808, 456, 108?

GCD of given numbers 276, 808, 456, 108 is 4

2. How to calculate the greatest common divisor of 276, 808, 456, 108?

We can find the highest common divisor of 276, 808, 456, 108 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, 808, 456, 108 i.e 4.

3. How can I use the GCD of 276, 808, 456, 108Calculator?

Out the numbers 276, 808, 456, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.