Online GCD Calculator is useful to find the GCD of 136, 310, 861, 170 quickly. Get the easiest ways to solve the greatest common divisor of 136, 310, 861, 170 i.e 1 in different methods as follows.
Given Input numbers are 136, 310, 861, 170
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (136, 310, 861, 170) = 1.
Given numbers are 136, 310, 861, 170
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 310 are 2 x 5 x 31
Prime factors of 861 are 3 x 7 x 41
Prime factors of 170 are 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 136, 310, 861, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 310) = 21080
GCD(136, 310) = ( 136 x 310 ) / 21080
= 136 / 310
= 136
Step2:
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
= 2 / 861
= 2
Step3:
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
= 1 / 170
= 1
So, Greatest Common Divisor of 136, 310, 861, 170 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 310, 861, 170
The greatest common divisor of numbers 136, 310, 861, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 310, 861, 170 is 1.
1. What is the GCD of 136, 310, 861, 170?
GCD of given numbers 136, 310, 861, 170 is 1
2. How to calculate the greatest common divisor of 136, 310, 861, 170?
We can find the highest common divisor of 136, 310, 861, 170 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, 310, 861, 170 i.e 1.
3. How can I use the GCD of 136, 310, 861, 170Calculator?
Out the numbers 136, 310, 861, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.