Online GCD Calculator is useful to find the GCD of 873, 471, 355, 200 quickly. Get the easiest ways to solve the greatest common divisor of 873, 471, 355, 200 i.e 1 in different methods as follows.
Given Input numbers are 873, 471, 355, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (873, 471, 355, 200) = 1.
Given numbers are 873, 471, 355, 200
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 471 are 3 x 157
Prime factors of 355 are 5 x 71
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 873, 471, 355, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 471) = 137061
GCD(873, 471) = ( 873 x 471 ) / 137061
= 873 / 471
= 873
Step2:
LCM(3, 355) = 1065
GCD(3, 355) = ( 3 x 355 ) / 1065
= 3 / 355
= 3
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 873, 471, 355, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 471, 355, 200
The greatest common divisor of numbers 873, 471, 355, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 471, 355, 200 is 1.
1. What is the GCD of 873, 471, 355, 200?
GCD of given numbers 873, 471, 355, 200 is 1
2. How to calculate the greatest common divisor of 873, 471, 355, 200?
We can find the highest common divisor of 873, 471, 355, 200 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 873, 471, 355, 200 i.e 1.
3. How can I use the GCD of 873, 471, 355, 200Calculator?
Out the numbers 873, 471, 355, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.