Online GCD Calculator is useful to find the GCD of 152, 575, 145, 108 quickly. Get the easiest ways to solve the greatest common divisor of 152, 575, 145, 108 i.e 1 in different methods as follows.
Given Input numbers are 152, 575, 145, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (152, 575, 145, 108) = 1.
Given numbers are 152, 575, 145, 108
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 575 are 5 x 5 x 23
Prime factors of 145 are 5 x 29
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 152, 575, 145, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 575) = 87400
GCD(152, 575) = ( 152 x 575 ) / 87400
= 152 / 575
= 152
Step2:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 152, 575, 145, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 575, 145, 108
The greatest common divisor of numbers 152, 575, 145, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 575, 145, 108 is 1.
1. What is the GCD of 152, 575, 145, 108?
GCD of given numbers 152, 575, 145, 108 is 1
2. How to calculate the greatest common divisor of 152, 575, 145, 108?
We can find the highest common divisor of 152, 575, 145, 108 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 152, 575, 145, 108 i.e 1.
3. How can I use the GCD of 152, 575, 145, 108Calculator?
Out the numbers 152, 575, 145, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.