Online GCD Calculator is useful to find the GCD of 225, 429, 644, 744 quickly. Get the easiest ways to solve the greatest common divisor of 225, 429, 644, 744 i.e 1 in different methods as follows.
Given Input numbers are 225, 429, 644, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (225, 429, 644, 744) = 1.
Given numbers are 225, 429, 644, 744
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 429 are 3 x 11 x 13
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 429, 644, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 429) = 32175
GCD(225, 429) = ( 225 x 429 ) / 32175
= 225 / 429
= 225
Step2:
LCM(3, 644) = 1932
GCD(3, 644) = ( 3 x 644 ) / 1932
= 3 / 644
= 3
Step3:
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
= 1 / 744
= 1
So, Greatest Common Divisor of 225, 429, 644, 744 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 429, 644, 744
The greatest common divisor of numbers 225, 429, 644, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 429, 644, 744 is 1.
1. What is the GCD of 225, 429, 644, 744?
GCD of given numbers 225, 429, 644, 744 is 1
2. How to calculate the greatest common divisor of 225, 429, 644, 744?
We can find the highest common divisor of 225, 429, 644, 744 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 225, 429, 644, 744 i.e 1.
3. How can I use the GCD of 225, 429, 644, 744Calculator?
Out the numbers 225, 429, 644, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.