Online GCD Calculator is useful to find the GCD of 416, 155, 338, 200 quickly. Get the easiest ways to solve the greatest common divisor of 416, 155, 338, 200 i.e 1 in different methods as follows.
Given Input numbers are 416, 155, 338, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
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 (416, 155, 338, 200) = 1.
Given numbers are 416, 155, 338, 200
The list of prime factors of all numbers are
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 155 are 5 x 31
Prime factors of 338 are 2 x 13 x 13
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 416, 155, 338, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(416, 155) = 64480
GCD(416, 155) = ( 416 x 155 ) / 64480
= 416 / 155
= 416
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 416, 155, 338, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 416, 155, 338, 200
The greatest common divisor of numbers 416, 155, 338, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 155, 338, 200 is 1.
1. What is the GCD of 416, 155, 338, 200?
GCD of given numbers 416, 155, 338, 200 is 1
2. How to calculate the greatest common divisor of 416, 155, 338, 200?
We can find the highest common divisor of 416, 155, 338, 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 416, 155, 338, 200 i.e 1.
3. How can I use the GCD of 416, 155, 338, 200Calculator?
Out the numbers 416, 155, 338, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.