Online GCD Calculator is useful to find the GCD of 432, 292, 367, 420 quickly. Get the easiest ways to solve the greatest common divisor of 432, 292, 367, 420 i.e 1 in different methods as follows.
Given Input numbers are 432, 292, 367, 420
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 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (432, 292, 367, 420) = 1.
Given numbers are 432, 292, 367, 420
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 292 are 2 x 2 x 73
Prime factors of 367 are 367
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 292, 367, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 292) = 31536
GCD(432, 292) = ( 432 x 292 ) / 31536
= 432 / 292
= 432
Step2:
LCM(4, 367) = 1468
GCD(4, 367) = ( 4 x 367 ) / 1468
= 4 / 367
= 4
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 432, 292, 367, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 292, 367, 420
The greatest common divisor of numbers 432, 292, 367, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 292, 367, 420 is 1.
1. What is the GCD of 432, 292, 367, 420?
GCD of given numbers 432, 292, 367, 420 is 1
2. How to calculate the greatest common divisor of 432, 292, 367, 420?
We can find the highest common divisor of 432, 292, 367, 420 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, 292, 367, 420 i.e 1.
3. How can I use the GCD of 432, 292, 367, 420Calculator?
Out the numbers 432, 292, 367, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.