Online GCD Calculator is useful to find the GCD of 135, 375, 809, 975 quickly. Get the easiest ways to solve the greatest common divisor of 135, 375, 809, 975 i.e 1 in different methods as follows.
Given Input numbers are 135, 375, 809, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
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
GCD of numbers is the greatest common divisor
So, the GCD (135, 375, 809, 975) = 1.
Given numbers are 135, 375, 809, 975
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 809 are 809
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 375, 809, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 375) = 3375
GCD(135, 375) = ( 135 x 375 ) / 3375
= 135 / 375
= 135
Step2:
LCM(15, 809) = 12135
GCD(15, 809) = ( 15 x 809 ) / 12135
= 15 / 809
= 15
Step3:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
So, Greatest Common Divisor of 135, 375, 809, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 375, 809, 975
The greatest common divisor of numbers 135, 375, 809, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 375, 809, 975 is 1.
1. What is the GCD of 135, 375, 809, 975?
GCD of given numbers 135, 375, 809, 975 is 1
2. How to calculate the greatest common divisor of 135, 375, 809, 975?
We can find the highest common divisor of 135, 375, 809, 975 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 135, 375, 809, 975 i.e 1.
3. How can I use the GCD of 135, 375, 809, 975Calculator?
Out the numbers 135, 375, 809, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.