Online GCD Calculator is useful to find the GCD of 135, 192, 252, 146 quickly. Get the easiest ways to solve the greatest common divisor of 135, 192, 252, 146 i.e 1 in different methods as follows.
Given Input numbers are 135, 192, 252, 146
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 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
GCD of numbers is the greatest common divisor
So, the GCD (135, 192, 252, 146) = 1.
Given numbers are 135, 192, 252, 146
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 146 are 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 192, 252, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 192) = 8640
GCD(135, 192) = ( 135 x 192 ) / 8640
= 135 / 192
= 135
Step2:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
Step3:
LCM(3, 146) = 438
GCD(3, 146) = ( 3 x 146 ) / 438
= 3 / 146
= 3
So, Greatest Common Divisor of 135, 192, 252, 146 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 192, 252, 146
The greatest common divisor of numbers 135, 192, 252, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 192, 252, 146 is 1.
1. What is the GCD of 135, 192, 252, 146?
GCD of given numbers 135, 192, 252, 146 is 1
2. How to calculate the greatest common divisor of 135, 192, 252, 146?
We can find the highest common divisor of 135, 192, 252, 146 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, 192, 252, 146 i.e 1.
3. How can I use the GCD of 135, 192, 252, 146Calculator?
Out the numbers 135, 192, 252, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.