Online GCD Calculator is useful to find the GCD of 200, 187, 977 quickly. Get the easiest ways to solve the greatest common divisor of 200, 187, 977 i.e 1 in different methods as follows.
Given Input numbers are 200, 187, 977
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 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (200, 187, 977) = 1.
Given numbers are 200, 187, 977
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 187 are 11 x 17
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 187, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 187) = 37400
GCD(200, 187) = ( 200 x 187 ) / 37400
= 200 / 187
= 200
Step2:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
So, Greatest Common Divisor of 200, 187, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 187, 977
The greatest common divisor of numbers 200, 187, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 187, 977 is 1.
1. What is the GCD of 200, 187, 977?
GCD of given numbers 200, 187, 977 is 1
2. How to calculate the greatest common divisor of 200, 187, 977?
We can find the highest common divisor of 200, 187, 977 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, 187, 977 i.e 1.
3. How can I use the GCD of 200, 187, 977Calculator?
Out the numbers 200, 187, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.