Online GCD Calculator is useful to find the GCD of 135, 473, 109, 107 quickly. Get the easiest ways to solve the greatest common divisor of 135, 473, 109, 107 i.e 1 in different methods as follows.
Given Input numbers are 135, 473, 109, 107
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 473 :
The positive integer divisors of 473 that completely divides 473 are.
1, 11, 43, 473
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (135, 473, 109, 107) = 1.
Given numbers are 135, 473, 109, 107
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 473 are 11 x 43
Prime factors of 109 are 109
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 473, 109, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 473) = 63855
GCD(135, 473) = ( 135 x 473 ) / 63855
= 135 / 473
= 135
Step2:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
Step3:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
So, Greatest Common Divisor of 135, 473, 109, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 473, 109, 107
The greatest common divisor of numbers 135, 473, 109, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 473, 109, 107 is 1.
1. What is the GCD of 135, 473, 109, 107?
GCD of given numbers 135, 473, 109, 107 is 1
2. How to calculate the greatest common divisor of 135, 473, 109, 107?
We can find the highest common divisor of 135, 473, 109, 107 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, 473, 109, 107 i.e 1.
3. How can I use the GCD of 135, 473, 109, 107Calculator?
Out the numbers 135, 473, 109, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.