Online GCD Calculator is useful to find the GCD of 200, 387, 257 quickly. Get the easiest ways to solve the greatest common divisor of 200, 387, 257 i.e 1 in different methods as follows.
Given Input numbers are 200, 387, 257
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 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 257 :
The positive integer divisors of 257 that completely divides 257 are.
1, 257
GCD of numbers is the greatest common divisor
So, the GCD (200, 387, 257) = 1.
Given numbers are 200, 387, 257
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 387 are 3 x 3 x 43
Prime factors of 257 are 257
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 387, 257
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 387) = 77400
GCD(200, 387) = ( 200 x 387 ) / 77400
= 200 / 387
= 200
Step2:
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
= 1 / 257
= 1
So, Greatest Common Divisor of 200, 387, 257 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 387, 257
The greatest common divisor of numbers 200, 387, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 387, 257 is 1.
1. What is the GCD of 200, 387, 257?
GCD of given numbers 200, 387, 257 is 1
2. How to calculate the greatest common divisor of 200, 387, 257?
We can find the highest common divisor of 200, 387, 257 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, 387, 257 i.e 1.
3. How can I use the GCD of 200, 387, 257Calculator?
Out the numbers 200, 387, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.