Online GCD Calculator is useful to find the GCD of 414, 225, 744, 429 quickly. Get the easiest ways to solve the greatest common divisor of 414, 225, 744, 429 i.e 3 in different methods as follows.
Given Input numbers are 414, 225, 744, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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 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
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (414, 225, 744, 429) = 3.
Given numbers are 414, 225, 744, 429
The list of prime factors of all numbers are
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 429 are 3 x 11 x 13
The highest common occurrence is 31
Therefore, GCD of 414, 225, 744, 429 is 3.
Given numbers are 414, 225, 744, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(414, 225) = 10350
GCD(414, 225) = ( 414 x 225 ) / 10350
= 414 / 225
= 414
Step2:
LCM(9, 744) = 2232
GCD(9, 744) = ( 9 x 744 ) / 2232
= 9 / 744
= 9
Step3:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
So, Greatest Common Divisor of 414, 225, 744, 429 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 414, 225, 744, 429
The greatest common divisor of numbers 414, 225, 744, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 225, 744, 429 is 3.
1. What is the GCD of 414, 225, 744, 429?
GCD of given numbers 414, 225, 744, 429 is 3
2. How to calculate the greatest common divisor of 414, 225, 744, 429?
We can find the highest common divisor of 414, 225, 744, 429 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 414, 225, 744, 429 i.e 3.
3. How can I use the GCD of 414, 225, 744, 429Calculator?
Out the numbers 414, 225, 744, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.