Online GCD Calculator is useful to find the GCD of 345, 155, 369, 800 quickly. Get the easiest ways to solve the greatest common divisor of 345, 155, 369, 800 i.e 1 in different methods as follows.
Given Input numbers are 345, 155, 369, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (345, 155, 369, 800) = 1.
Given numbers are 345, 155, 369, 800
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 155 are 5 x 31
Prime factors of 369 are 3 x 3 x 41
Prime factors of 800 are 2 x 2 x 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 345, 155, 369, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 155) = 10695
GCD(345, 155) = ( 345 x 155 ) / 10695
= 345 / 155
= 345
Step2:
LCM(5, 369) = 1845
GCD(5, 369) = ( 5 x 369 ) / 1845
= 5 / 369
= 5
Step3:
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
= 1 / 800
= 1
So, Greatest Common Divisor of 345, 155, 369, 800 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 155, 369, 800
The greatest common divisor of numbers 345, 155, 369, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 155, 369, 800 is 1.
1. What is the GCD of 345, 155, 369, 800?
GCD of given numbers 345, 155, 369, 800 is 1
2. How to calculate the greatest common divisor of 345, 155, 369, 800?
We can find the highest common divisor of 345, 155, 369, 800 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 345, 155, 369, 800 i.e 1.
3. How can I use the GCD of 345, 155, 369, 800Calculator?
Out the numbers 345, 155, 369, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.