Online GCD Calculator is useful to find the GCD of 136, 975, 231, 814 quickly. Get the easiest ways to solve the greatest common divisor of 136, 975, 231, 814 i.e 1 in different methods as follows.
Given Input numbers are 136, 975, 231, 814
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (136, 975, 231, 814) = 1.
Given numbers are 136, 975, 231, 814
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 231 are 3 x 7 x 11
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 136, 975, 231, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 975) = 132600
GCD(136, 975) = ( 136 x 975 ) / 132600
= 136 / 975
= 136
Step2:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
Step3:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
So, Greatest Common Divisor of 136, 975, 231, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 975, 231, 814
The greatest common divisor of numbers 136, 975, 231, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 975, 231, 814 is 1.
1. What is the GCD of 136, 975, 231, 814?
GCD of given numbers 136, 975, 231, 814 is 1
2. How to calculate the greatest common divisor of 136, 975, 231, 814?
We can find the highest common divisor of 136, 975, 231, 814 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, 975, 231, 814 i.e 1.
3. How can I use the GCD of 136, 975, 231, 814Calculator?
Out the numbers 136, 975, 231, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.