Online GCD Calculator is useful to find the GCD of 432, 642, 906, 696 quickly. Get the easiest ways to solve the greatest common divisor of 432, 642, 906, 696 i.e 6 in different methods as follows.
Given Input numbers are 432, 642, 906, 696
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (432, 642, 906, 696) = 6.
Given numbers are 432, 642, 906, 696
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 642 are 2 x 3 x 107
Prime factors of 906 are 2 x 3 x 151
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21 x 31
Therefore, GCD of 432, 642, 906, 696 is 6.
Given numbers are 432, 642, 906, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 642) = 46224
GCD(432, 642) = ( 432 x 642 ) / 46224
= 432 / 642
= 432
Step2:
LCM(6, 906) = 906
GCD(6, 906) = ( 6 x 906 ) / 906
= 6 / 906
= 6
Step3:
LCM(6, 696) = 696
GCD(6, 696) = ( 6 x 696 ) / 696
= 6 / 696
= 6
So, Greatest Common Divisor of 432, 642, 906, 696 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 642, 906, 696
The greatest common divisor of numbers 432, 642, 906, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 642, 906, 696 is 6.
1. What is the GCD of 432, 642, 906, 696?
GCD of given numbers 432, 642, 906, 696 is 6
2. How to calculate the greatest common divisor of 432, 642, 906, 696?
We can find the highest common divisor of 432, 642, 906, 696 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, 642, 906, 696 i.e 6.
3. How can I use the GCD of 432, 642, 906, 696Calculator?
Out the numbers 432, 642, 906, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.