Online GCD Calculator is useful to find the GCD of 432, 438, 742, 854 quickly. Get the easiest ways to solve the greatest common divisor of 432, 438, 742, 854 i.e 2 in different methods as follows.
Given Input numbers are 432, 438, 742, 854
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (432, 438, 742, 854) = 2.
Given numbers are 432, 438, 742, 854
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 438 are 2 x 3 x 73
Prime factors of 742 are 2 x 7 x 53
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 432, 438, 742, 854 is 2.
Given numbers are 432, 438, 742, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 438) = 31536
GCD(432, 438) = ( 432 x 438 ) / 31536
= 432 / 438
= 432
Step2:
LCM(6, 742) = 2226
GCD(6, 742) = ( 6 x 742 ) / 2226
= 6 / 742
= 6
Step3:
LCM(2, 854) = 854
GCD(2, 854) = ( 2 x 854 ) / 854
= 2 / 854
= 2
So, Greatest Common Divisor of 432, 438, 742, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 438, 742, 854
The greatest common divisor of numbers 432, 438, 742, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 438, 742, 854 is 2.
1. What is the GCD of 432, 438, 742, 854?
GCD of given numbers 432, 438, 742, 854 is 2
2. How to calculate the greatest common divisor of 432, 438, 742, 854?
We can find the highest common divisor of 432, 438, 742, 854 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, 438, 742, 854 i.e 2.
3. How can I use the GCD of 432, 438, 742, 854Calculator?
Out the numbers 432, 438, 742, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.