Online GCD Calculator is useful to find the GCD of 324, 128, 25, 724 quickly. Get the easiest ways to solve the greatest common divisor of 324, 128, 25, 724 i.e 1 in different methods as follows.
Given Input numbers are 324, 128, 25, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 25 :
The positive integer divisors of 25 that completely divides 25 are.
1, 5, 25
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (324, 128, 25, 724) = 1.
Given numbers are 324, 128, 25, 724
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 25 are 5 x 5
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 324, 128, 25, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 128) = 10368
GCD(324, 128) = ( 324 x 128 ) / 10368
= 324 / 128
= 324
Step2:
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
= 4 / 25
= 4
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 324, 128, 25, 724 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 128, 25, 724
The greatest common divisor of numbers 324, 128, 25, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 128, 25, 724 is 1.
1. What is the GCD of 324, 128, 25, 724?
GCD of given numbers 324, 128, 25, 724 is 1
2. How to calculate the greatest common divisor of 324, 128, 25, 724?
We can find the highest common divisor of 324, 128, 25, 724 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 324, 128, 25, 724 i.e 1.
3. How can I use the GCD of 324, 128, 25, 724Calculator?
Out the numbers 324, 128, 25, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.