Online GCD Calculator is useful to find the GCD of 800, 642, 450, 181 quickly. Get the easiest ways to solve the greatest common divisor of 800, 642, 450, 181 i.e 1 in different methods as follows.
Given Input numbers are 800, 642, 450, 181
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 181 :
The positive integer divisors of 181 that completely divides 181 are.
1, 181
GCD of numbers is the greatest common divisor
So, the GCD (800, 642, 450, 181) = 1.
Given numbers are 800, 642, 450, 181
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 642 are 2 x 3 x 107
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 181 are 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 642, 450, 181
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 642) = 256800
GCD(800, 642) = ( 800 x 642 ) / 256800
= 800 / 642
= 800
Step2:
LCM(2, 450) = 450
GCD(2, 450) = ( 2 x 450 ) / 450
= 2 / 450
= 2
Step3:
LCM(2, 181) = 362
GCD(2, 181) = ( 2 x 181 ) / 362
= 2 / 181
= 2
So, Greatest Common Divisor of 800, 642, 450, 181 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 642, 450, 181
The greatest common divisor of numbers 800, 642, 450, 181 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 642, 450, 181 is 1.
1. What is the GCD of 800, 642, 450, 181?
GCD of given numbers 800, 642, 450, 181 is 1
2. How to calculate the greatest common divisor of 800, 642, 450, 181?
We can find the highest common divisor of 800, 642, 450, 181 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, 642, 450, 181 i.e 1.
3. How can I use the GCD of 800, 642, 450, 181Calculator?
Out the numbers 800, 642, 450, 181 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.