Online GCD Calculator is useful to find the GCD of 318, 101, 505, 200 quickly. Get the easiest ways to solve the greatest common divisor of 318, 101, 505, 200 i.e 1 in different methods as follows.
Given Input numbers are 318, 101, 505, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
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
GCD of numbers is the greatest common divisor
So, the GCD (318, 101, 505, 200) = 1.
Given numbers are 318, 101, 505, 200
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 101 are 101
Prime factors of 505 are 5 x 101
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 318, 101, 505, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 101) = 32118
GCD(318, 101) = ( 318 x 101 ) / 32118
= 318 / 101
= 318
Step2:
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
= 1 / 505
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 318, 101, 505, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 101, 505, 200
The greatest common divisor of numbers 318, 101, 505, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 101, 505, 200 is 1.
1. What is the GCD of 318, 101, 505, 200?
GCD of given numbers 318, 101, 505, 200 is 1
2. How to calculate the greatest common divisor of 318, 101, 505, 200?
We can find the highest common divisor of 318, 101, 505, 200 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 318, 101, 505, 200 i.e 1.
3. How can I use the GCD of 318, 101, 505, 200Calculator?
Out the numbers 318, 101, 505, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.