Online GCD Calculator is useful to find the GCD of 355, 200, 273, 108 quickly. Get the easiest ways to solve the greatest common divisor of 355, 200, 273, 108 i.e 1 in different methods as follows.
Given Input numbers are 355, 200, 273, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
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 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (355, 200, 273, 108) = 1.
Given numbers are 355, 200, 273, 108
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 273 are 3 x 7 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 200, 273, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 200) = 14200
GCD(355, 200) = ( 355 x 200 ) / 14200
= 355 / 200
= 355
Step2:
LCM(5, 273) = 1365
GCD(5, 273) = ( 5 x 273 ) / 1365
= 5 / 273
= 5
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 355, 200, 273, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 200, 273, 108
The greatest common divisor of numbers 355, 200, 273, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 200, 273, 108 is 1.
1. What is the GCD of 355, 200, 273, 108?
GCD of given numbers 355, 200, 273, 108 is 1
2. How to calculate the greatest common divisor of 355, 200, 273, 108?
We can find the highest common divisor of 355, 200, 273, 108 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 355, 200, 273, 108 i.e 1.
3. How can I use the GCD of 355, 200, 273, 108Calculator?
Out the numbers 355, 200, 273, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.