Online GCD Calculator is useful to find the GCD of 906, 309, 152, 135 quickly. Get the easiest ways to solve the greatest common divisor of 906, 309, 152, 135 i.e 1 in different methods as follows.
Given Input numbers are 906, 309, 152, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (906, 309, 152, 135) = 1.
Given numbers are 906, 309, 152, 135
The list of prime factors of all numbers are
Prime factors of 906 are 2 x 3 x 151
Prime factors of 309 are 3 x 103
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 906, 309, 152, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(906, 309) = 93318
GCD(906, 309) = ( 906 x 309 ) / 93318
= 906 / 309
= 906
Step2:
LCM(3, 152) = 456
GCD(3, 152) = ( 3 x 152 ) / 456
= 3 / 152
= 3
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 906, 309, 152, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 906, 309, 152, 135
The greatest common divisor of numbers 906, 309, 152, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 309, 152, 135 is 1.
1. What is the GCD of 906, 309, 152, 135?
GCD of given numbers 906, 309, 152, 135 is 1
2. How to calculate the greatest common divisor of 906, 309, 152, 135?
We can find the highest common divisor of 906, 309, 152, 135 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 906, 309, 152, 135 i.e 1.
3. How can I use the GCD of 906, 309, 152, 135Calculator?
Out the numbers 906, 309, 152, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.