Online GCD Calculator is useful to find the GCD of 270, 149, 156, 369 quickly. Get the easiest ways to solve the greatest common divisor of 270, 149, 156, 369 i.e 1 in different methods as follows.
Given Input numbers are 270, 149, 156, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (270, 149, 156, 369) = 1.
Given numbers are 270, 149, 156, 369
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 149 are 149
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 149, 156, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 149) = 40230
GCD(270, 149) = ( 270 x 149 ) / 40230
= 270 / 149
= 270
Step2:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
Step3:
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
= 1 / 369
= 1
So, Greatest Common Divisor of 270, 149, 156, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 149, 156, 369
The greatest common divisor of numbers 270, 149, 156, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 149, 156, 369 is 1.
1. What is the GCD of 270, 149, 156, 369?
GCD of given numbers 270, 149, 156, 369 is 1
2. How to calculate the greatest common divisor of 270, 149, 156, 369?
We can find the highest common divisor of 270, 149, 156, 369 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 270, 149, 156, 369 i.e 1.
3. How can I use the GCD of 270, 149, 156, 369Calculator?
Out the numbers 270, 149, 156, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.