Online GCD Calculator is useful to find the GCD of 438, 725, 960, 772 quickly. Get the easiest ways to solve the greatest common divisor of 438, 725, 960, 772 i.e 1 in different methods as follows.
Given Input numbers are 438, 725, 960, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (438, 725, 960, 772) = 1.
Given numbers are 438, 725, 960, 772
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 725 are 5 x 5 x 29
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 772 are 2 x 2 x 193
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 438, 725, 960, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 725) = 317550
GCD(438, 725) = ( 438 x 725 ) / 317550
= 438 / 725
= 438
Step2:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
Step3:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
So, Greatest Common Divisor of 438, 725, 960, 772 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 725, 960, 772
The greatest common divisor of numbers 438, 725, 960, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 725, 960, 772 is 1.
1. What is the GCD of 438, 725, 960, 772?
GCD of given numbers 438, 725, 960, 772 is 1
2. How to calculate the greatest common divisor of 438, 725, 960, 772?
We can find the highest common divisor of 438, 725, 960, 772 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 438, 725, 960, 772 i.e 1.
3. How can I use the GCD of 438, 725, 960, 772Calculator?
Out the numbers 438, 725, 960, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.