Online GCD Calculator is useful to find the GCD of 116, 315, 160, 125 quickly. Get the easiest ways to solve the greatest common divisor of 116, 315, 160, 125 i.e 1 in different methods as follows.
Given Input numbers are 116, 315, 160, 125
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
GCD of numbers is the greatest common divisor
So, the GCD (116, 315, 160, 125) = 1.
Given numbers are 116, 315, 160, 125
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 125 are 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 315, 160, 125
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 315) = 36540
GCD(116, 315) = ( 116 x 315 ) / 36540
= 116 / 315
= 116
Step2:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
Step3:
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
= 1 / 125
= 1
So, Greatest Common Divisor of 116, 315, 160, 125 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 315, 160, 125
The greatest common divisor of numbers 116, 315, 160, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 315, 160, 125 is 1.
1. What is the GCD of 116, 315, 160, 125?
GCD of given numbers 116, 315, 160, 125 is 1
2. How to calculate the greatest common divisor of 116, 315, 160, 125?
We can find the highest common divisor of 116, 315, 160, 125 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 116, 315, 160, 125 i.e 1.
3. How can I use the GCD of 116, 315, 160, 125Calculator?
Out the numbers 116, 315, 160, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.