Online GCD Calculator is useful to find the GCD of 725, 412, 220, 145 quickly. Get the easiest ways to solve the greatest common divisor of 725, 412, 220, 145 i.e 1 in different methods as follows.
Given Input numbers are 725, 412, 220, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (725, 412, 220, 145) = 1.
Given numbers are 725, 412, 220, 145
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 412 are 2 x 2 x 103
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 412, 220, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 412) = 298700
GCD(725, 412) = ( 725 x 412 ) / 298700
= 725 / 412
= 725
Step2:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
Step3:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
So, Greatest Common Divisor of 725, 412, 220, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 412, 220, 145
The greatest common divisor of numbers 725, 412, 220, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 412, 220, 145 is 1.
1. What is the GCD of 725, 412, 220, 145?
GCD of given numbers 725, 412, 220, 145 is 1
2. How to calculate the greatest common divisor of 725, 412, 220, 145?
We can find the highest common divisor of 725, 412, 220, 145 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 725, 412, 220, 145 i.e 1.
3. How can I use the GCD of 725, 412, 220, 145Calculator?
Out the numbers 725, 412, 220, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.