Online GCD Calculator is useful to find the GCD of 800, 890, 722, 444 quickly. Get the easiest ways to solve the greatest common divisor of 800, 890, 722, 444 i.e 2 in different methods as follows.
Given Input numbers are 800, 890, 722, 444
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 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (800, 890, 722, 444) = 2.
Given numbers are 800, 890, 722, 444
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 890 are 2 x 5 x 89
Prime factors of 722 are 2 x 19 x 19
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 800, 890, 722, 444 is 2.
Given numbers are 800, 890, 722, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 890) = 71200
GCD(800, 890) = ( 800 x 890 ) / 71200
= 800 / 890
= 800
Step2:
LCM(10, 722) = 3610
GCD(10, 722) = ( 10 x 722 ) / 3610
= 10 / 722
= 10
Step3:
LCM(2, 444) = 444
GCD(2, 444) = ( 2 x 444 ) / 444
= 2 / 444
= 2
So, Greatest Common Divisor of 800, 890, 722, 444 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 890, 722, 444
The greatest common divisor of numbers 800, 890, 722, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 890, 722, 444 is 2.
1. What is the GCD of 800, 890, 722, 444?
GCD of given numbers 800, 890, 722, 444 is 2
2. How to calculate the greatest common divisor of 800, 890, 722, 444?
We can find the highest common divisor of 800, 890, 722, 444 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, 890, 722, 444 i.e 2.
3. How can I use the GCD of 800, 890, 722, 444Calculator?
Out the numbers 800, 890, 722, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.