Online GCD Calculator is useful to find the GCD of 155, 975, 506, 108 quickly. Get the easiest ways to solve the greatest common divisor of 155, 975, 506, 108 i.e 1 in different methods as follows.
Given Input numbers are 155, 975, 506, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 (155, 975, 506, 108) = 1.
Given numbers are 155, 975, 506, 108
The list of prime factors of all numbers are
Prime factors of 155 are 5 x 31
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 506 are 2 x 11 x 23
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 155, 975, 506, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(155, 975) = 30225
GCD(155, 975) = ( 155 x 975 ) / 30225
= 155 / 975
= 155
Step2:
LCM(5, 506) = 2530
GCD(5, 506) = ( 5 x 506 ) / 2530
= 5 / 506
= 5
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 155, 975, 506, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 155, 975, 506, 108
The greatest common divisor of numbers 155, 975, 506, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 155, 975, 506, 108 is 1.
1. What is the GCD of 155, 975, 506, 108?
GCD of given numbers 155, 975, 506, 108 is 1
2. How to calculate the greatest common divisor of 155, 975, 506, 108?
We can find the highest common divisor of 155, 975, 506, 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 155, 975, 506, 108 i.e 1.
3. How can I use the GCD of 155, 975, 506, 108Calculator?
Out the numbers 155, 975, 506, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.