GCD of 824, 984, 456, 812 Calculator

Given Input numbers are 824, 984, 456, 812

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 812 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 984, 456, 812) = 4.

Given numbers are 824, 984, 456, 812

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

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

The highest common occurrence is 2²

Therefore, GCD of 824, 984, 456, 812 is 4.

Given numbers are 824, 984, 456, 812

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

Apply this formula for all numbers.

Step1:

LCM(824, 984) = 101352

GCD(824, 984) = ( 824 x 984 ) / 101352

= 824 / 984

= 824

Step2:

LCM(8, 456) = 456

GCD(8, 456) = ( 8 x 456 ) / 456

= 8 / 456

= 8

Step3:

LCM(8, 812) = 1624

GCD(8, 812) = ( 8 x 812 ) / 1624

= 8 / 812

= 8

So, Greatest Common Divisor of 824, 984, 456, 812 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 742, 700, 335
• GCD of 785, 860, 279, 476
• GCD of 694, 698, 320, 332
• GCD of 519, 164, 917, 715
• GCD of 729, 342, 590, 724

Given numbers are 824, 984, 456, 812
The greatest common divisor of numbers 824, 984, 456, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 984, 456, 812 is 4.

1. What is the GCD of 824, 984, 456, 812?

GCD of given numbers 824, 984, 456, 812 is 4

2. How to calculate the greatest common divisor of 824, 984, 456, 812?

We can find the highest common divisor of 824, 984, 456, 812 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 824, 984, 456, 812 i.e 4.

3. How can I use the GCD of 824, 984, 456, 812Calculator?

Out the numbers 824, 984, 456, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.