Online GCD Calculator is useful to find the GCD of 400, 108, 965, 155 quickly. Get the easiest ways to solve the greatest common divisor of 400, 108, 965, 155 i.e 1 in different methods as follows.
Given Input numbers are 400, 108, 965, 155
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
GCD of numbers is the greatest common divisor
So, the GCD (400, 108, 965, 155) = 1.
Given numbers are 400, 108, 965, 155
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 965 are 5 x 193
Prime factors of 155 are 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 108, 965, 155
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 108) = 10800
GCD(400, 108) = ( 400 x 108 ) / 10800
= 400 / 108
= 400
Step2:
LCM(4, 965) = 3860
GCD(4, 965) = ( 4 x 965 ) / 3860
= 4 / 965
= 4
Step3:
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
= 1 / 155
= 1
So, Greatest Common Divisor of 400, 108, 965, 155 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 108, 965, 155
The greatest common divisor of numbers 400, 108, 965, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 108, 965, 155 is 1.
1. What is the GCD of 400, 108, 965, 155?
GCD of given numbers 400, 108, 965, 155 is 1
2. How to calculate the greatest common divisor of 400, 108, 965, 155?
We can find the highest common divisor of 400, 108, 965, 155 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 400, 108, 965, 155 i.e 1.
3. How can I use the GCD of 400, 108, 965, 155Calculator?
Out the numbers 400, 108, 965, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.