Online GCD Calculator is useful to find the GCD of 136, 150, 400, 855 quickly. Get the easiest ways to solve the greatest common divisor of 136, 150, 400, 855 i.e 1 in different methods as follows.
Given Input numbers are 136, 150, 400, 855
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (136, 150, 400, 855) = 1.
Given numbers are 136, 150, 400, 855
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 855 are 3 x 3 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 136, 150, 400, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 150) = 10200
GCD(136, 150) = ( 136 x 150 ) / 10200
= 136 / 150
= 136
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
Step3:
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
= 2 / 855
= 2
So, Greatest Common Divisor of 136, 150, 400, 855 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 150, 400, 855
The greatest common divisor of numbers 136, 150, 400, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 150, 400, 855 is 1.
1. What is the GCD of 136, 150, 400, 855?
GCD of given numbers 136, 150, 400, 855 is 1
2. How to calculate the greatest common divisor of 136, 150, 400, 855?
We can find the highest common divisor of 136, 150, 400, 855 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 136, 150, 400, 855 i.e 1.
3. How can I use the GCD of 136, 150, 400, 855Calculator?
Out the numbers 136, 150, 400, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.