Online GCD Calculator is useful to find the GCD of 112, 809, 160, 725 quickly. Get the easiest ways to solve the greatest common divisor of 112, 809, 160, 725 i.e 1 in different methods as follows.
Given Input numbers are 112, 809, 160, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
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 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (112, 809, 160, 725) = 1.
Given numbers are 112, 809, 160, 725
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 809 are 809
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 725 are 5 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 809, 160, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 809) = 90608
GCD(112, 809) = ( 112 x 809 ) / 90608
= 112 / 809
= 112
Step2:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
Step3:
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
= 1 / 725
= 1
So, Greatest Common Divisor of 112, 809, 160, 725 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 809, 160, 725
The greatest common divisor of numbers 112, 809, 160, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 809, 160, 725 is 1.
1. What is the GCD of 112, 809, 160, 725?
GCD of given numbers 112, 809, 160, 725 is 1
2. How to calculate the greatest common divisor of 112, 809, 160, 725?
We can find the highest common divisor of 112, 809, 160, 725 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 112, 809, 160, 725 i.e 1.
3. How can I use the GCD of 112, 809, 160, 725Calculator?
Out the numbers 112, 809, 160, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.