Online GCD Calculator is useful to find the GCD of 200, 599, 687, 252 quickly. Get the easiest ways to solve the greatest common divisor of 200, 599, 687, 252 i.e 1 in different methods as follows.
Given Input numbers are 200, 599, 687, 252
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 599 :
The positive integer divisors of 599 that completely divides 599 are.
1, 599
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (200, 599, 687, 252) = 1.
Given numbers are 200, 599, 687, 252
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 599 are 599
Prime factors of 687 are 3 x 229
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 599, 687, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 599) = 119800
GCD(200, 599) = ( 200 x 599 ) / 119800
= 200 / 599
= 200
Step2:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 200, 599, 687, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 599, 687, 252
The greatest common divisor of numbers 200, 599, 687, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 599, 687, 252 is 1.
1. What is the GCD of 200, 599, 687, 252?
GCD of given numbers 200, 599, 687, 252 is 1
2. How to calculate the greatest common divisor of 200, 599, 687, 252?
We can find the highest common divisor of 200, 599, 687, 252 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 200, 599, 687, 252 i.e 1.
3. How can I use the GCD of 200, 599, 687, 252Calculator?
Out the numbers 200, 599, 687, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.