GCD of 800, 452, 372, 722 Calculator

Given Input numbers are 800, 452, 372, 722

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (800, 452, 372, 722) = 2.

Given numbers are 800, 452, 372, 722

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 452 are 2 x 2 x 113

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 800, 452, 372, 722 is 2.

Given numbers are 800, 452, 372, 722

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

Apply this formula for all numbers.

Step1:

LCM(800, 452) = 90400

GCD(800, 452) = ( 800 x 452 ) / 90400

= 800 / 452

= 800

Step2:

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

= 4 / 372

= 4

Step3:

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

= 4 / 722

= 4

So, Greatest Common Divisor of 800, 452, 372, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 672, 720, 337
• GCD of 294, 657, 450, 307
• GCD of 322, 233, 658, 907
• GCD of 733, 998, 920, 526
• GCD of 408, 630, 153, 529

Given numbers are 800, 452, 372, 722
The greatest common divisor of numbers 800, 452, 372, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 452, 372, 722 is 2.

1. What is the GCD of 800, 452, 372, 722?

GCD of given numbers 800, 452, 372, 722 is 2

2. How to calculate the greatest common divisor of 800, 452, 372, 722?

We can find the highest common divisor of 800, 452, 372, 722 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 800, 452, 372, 722 i.e 2.

3. How can I use the GCD of 800, 452, 372, 722Calculator?

Out the numbers 800, 452, 372, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.