Online GCD Calculator is useful to find the GCD of 432, 504, 758 quickly. Get the easiest ways to solve the greatest common divisor of 432, 504, 758 i.e 2 in different methods as follows.
Given Input numbers are 432, 504, 758
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
GCD of numbers is the greatest common divisor
So, the GCD (432, 504, 758) = 2.
Given numbers are 432, 504, 758
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 758 are 2 x 379
The highest common occurrence is 21
Therefore, GCD of 432, 504, 758 is 2.
Given numbers are 432, 504, 758
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 504) = 3024
GCD(432, 504) = ( 432 x 504 ) / 3024
= 432 / 504
= 432
Step2:
LCM(72, 758) = 27288
GCD(72, 758) = ( 72 x 758 ) / 27288
= 72 / 758
= 72
So, Greatest Common Divisor of 432, 504, 758 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 504, 758
The greatest common divisor of numbers 432, 504, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 504, 758 is 2.
1. What is the GCD of 432, 504, 758?
GCD of given numbers 432, 504, 758 is 2
2. How to calculate the greatest common divisor of 432, 504, 758?
We can find the highest common divisor of 432, 504, 758 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 432, 504, 758 i.e 2.
3. How can I use the GCD of 432, 504, 758Calculator?
Out the numbers 432, 504, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.