GCD of 800, 144, 222, 563 Calculator

Given Input numbers are 800, 144, 222, 563

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (800, 144, 222, 563) = 1.

Given numbers are 800, 144, 222, 563

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 222 are 2 x 3 x 37

Prime factors of 563 are 563

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 144, 222, 563

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

Apply this formula for all numbers.

Step1:

LCM(800, 144) = 7200

GCD(800, 144) = ( 800 x 144 ) / 7200

= 800 / 144

= 800

Step2:

LCM(16, 222) = 1776

GCD(16, 222) = ( 16 x 222 ) / 1776

= 16 / 222

= 16

Step3:

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

= 2 / 563

= 2

So, Greatest Common Divisor of 800, 144, 222, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 193, 370, 411
• GCD of 914, 531, 664, 993
• GCD of 678, 437, 169, 608
• GCD of 648, 105, 489, 200
• GCD of 319, 438, 869, 113

Given numbers are 800, 144, 222, 563
The greatest common divisor of numbers 800, 144, 222, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 144, 222, 563 is 1.

1. What is the GCD of 800, 144, 222, 563?

GCD of given numbers 800, 144, 222, 563 is 1

2. How to calculate the greatest common divisor of 800, 144, 222, 563?

We can find the highest common divisor of 800, 144, 222, 563 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, 144, 222, 563 i.e 1.

3. How can I use the GCD of 800, 144, 222, 563Calculator?

Out the numbers 800, 144, 222, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.