Online GCD Calculator is useful to find the GCD of 125, 585, 722 quickly. Get the easiest ways to solve the greatest common divisor of 125, 585, 722 i.e 1 in different methods as follows.
Given Input numbers are 125, 585, 722
In the factoring method, we have to find the divisors of all numbers
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (125, 585, 722) = 1.
Given numbers are 125, 585, 722
The list of prime factors of all numbers are
Prime factors of 125 are 5 x 5 x 5
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 722 are 2 x 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 125, 585, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(125, 585) = 14625
GCD(125, 585) = ( 125 x 585 ) / 14625
= 125 / 585
= 125
Step2:
LCM(5, 722) = 3610
GCD(5, 722) = ( 5 x 722 ) / 3610
= 5 / 722
= 5
So, Greatest Common Divisor of 125, 585, 722 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 125, 585, 722
The greatest common divisor of numbers 125, 585, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 585, 722 is 1.
1. What is the GCD of 125, 585, 722?
GCD of given numbers 125, 585, 722 is 1
2. How to calculate the greatest common divisor of 125, 585, 722?
We can find the highest common divisor of 125, 585, 722 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 125, 585, 722 i.e 1.
3. How can I use the GCD of 125, 585, 722Calculator?
Out the numbers 125, 585, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.