Online GCD Calculator is useful to find the GCD of 200, 359, 787, 720 quickly. Get the easiest ways to solve the greatest common divisor of 200, 359, 787, 720 i.e 1 in different methods as follows.
Given Input numbers are 200, 359, 787, 720
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 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (200, 359, 787, 720) = 1.
Given numbers are 200, 359, 787, 720
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 359 are 359
Prime factors of 787 are 787
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 359, 787, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 359) = 71800
GCD(200, 359) = ( 200 x 359 ) / 71800
= 200 / 359
= 200
Step2:
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
= 1 / 787
= 1
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 200, 359, 787, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 359, 787, 720
The greatest common divisor of numbers 200, 359, 787, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 359, 787, 720 is 1.
1. What is the GCD of 200, 359, 787, 720?
GCD of given numbers 200, 359, 787, 720 is 1
2. How to calculate the greatest common divisor of 200, 359, 787, 720?
We can find the highest common divisor of 200, 359, 787, 720 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, 359, 787, 720 i.e 1.
3. How can I use the GCD of 200, 359, 787, 720Calculator?
Out the numbers 200, 359, 787, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.