Online GCD Calculator is useful to find the GCD of 200, 145, 558, 787 quickly. Get the easiest ways to solve the greatest common divisor of 200, 145, 558, 787 i.e 1 in different methods as follows.
Given Input numbers are 200, 145, 558, 787
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 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
GCD of numbers is the greatest common divisor
So, the GCD (200, 145, 558, 787) = 1.
Given numbers are 200, 145, 558, 787
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 145 are 5 x 29
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 787 are 787
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 145, 558, 787
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 145) = 5800
GCD(200, 145) = ( 200 x 145 ) / 5800
= 200 / 145
= 200
Step2:
LCM(5, 558) = 2790
GCD(5, 558) = ( 5 x 558 ) / 2790
= 5 / 558
= 5
Step3:
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
= 1 / 787
= 1
So, Greatest Common Divisor of 200, 145, 558, 787 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 145, 558, 787
The greatest common divisor of numbers 200, 145, 558, 787 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 145, 558, 787 is 1.
1. What is the GCD of 200, 145, 558, 787?
GCD of given numbers 200, 145, 558, 787 is 1
2. How to calculate the greatest common divisor of 200, 145, 558, 787?
We can find the highest common divisor of 200, 145, 558, 787 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, 145, 558, 787 i.e 1.
3. How can I use the GCD of 200, 145, 558, 787Calculator?
Out the numbers 200, 145, 558, 787 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.