Online GCD Calculator is useful to find the GCD of 441, 849, 400, 872 quickly. Get the easiest ways to solve the greatest common divisor of 441, 849, 400, 872 i.e 1 in different methods as follows.
Given Input numbers are 441, 849, 400, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (441, 849, 400, 872) = 1.
Given numbers are 441, 849, 400, 872
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 849 are 3 x 283
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 441, 849, 400, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 849) = 124803
GCD(441, 849) = ( 441 x 849 ) / 124803
= 441 / 849
= 441
Step2:
LCM(3, 400) = 1200
GCD(3, 400) = ( 3 x 400 ) / 1200
= 3 / 400
= 3
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 441, 849, 400, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 849, 400, 872
The greatest common divisor of numbers 441, 849, 400, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 849, 400, 872 is 1.
1. What is the GCD of 441, 849, 400, 872?
GCD of given numbers 441, 849, 400, 872 is 1
2. How to calculate the greatest common divisor of 441, 849, 400, 872?
We can find the highest common divisor of 441, 849, 400, 872 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 441, 849, 400, 872 i.e 1.
3. How can I use the GCD of 441, 849, 400, 872Calculator?
Out the numbers 441, 849, 400, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.