Online GCD Calculator is useful to find the GCD of 725, 742, 605, 908 quickly. Get the easiest ways to solve the greatest common divisor of 725, 742, 605, 908 i.e 1 in different methods as follows.
Given Input numbers are 725, 742, 605, 908
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
GCD of numbers is the greatest common divisor
So, the GCD (725, 742, 605, 908) = 1.
Given numbers are 725, 742, 605, 908
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 742 are 2 x 7 x 53
Prime factors of 605 are 5 x 11 x 11
Prime factors of 908 are 2 x 2 x 227
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 742, 605, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 742) = 537950
GCD(725, 742) = ( 725 x 742 ) / 537950
= 725 / 742
= 725
Step2:
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
= 1 / 605
= 1
Step3:
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
= 1 / 908
= 1
So, Greatest Common Divisor of 725, 742, 605, 908 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 742, 605, 908
The greatest common divisor of numbers 725, 742, 605, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 742, 605, 908 is 1.
1. What is the GCD of 725, 742, 605, 908?
GCD of given numbers 725, 742, 605, 908 is 1
2. How to calculate the greatest common divisor of 725, 742, 605, 908?
We can find the highest common divisor of 725, 742, 605, 908 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, 742, 605, 908 i.e 1.
3. How can I use the GCD of 725, 742, 605, 908Calculator?
Out the numbers 725, 742, 605, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.