Online GCD Calculator is useful to find the GCD of 462, 380, 465, 432 quickly. Get the easiest ways to solve the greatest common divisor of 462, 380, 465, 432 i.e 1 in different methods as follows.
Given Input numbers are 462, 380, 465, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
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
GCD of numbers is the greatest common divisor
So, the GCD (462, 380, 465, 432) = 1.
Given numbers are 462, 380, 465, 432
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 465 are 3 x 5 x 31
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 380, 465, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 380) = 87780
GCD(462, 380) = ( 462 x 380 ) / 87780
= 462 / 380
= 462
Step2:
LCM(2, 465) = 930
GCD(2, 465) = ( 2 x 465 ) / 930
= 2 / 465
= 2
Step3:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
So, Greatest Common Divisor of 462, 380, 465, 432 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 380, 465, 432
The greatest common divisor of numbers 462, 380, 465, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 380, 465, 432 is 1.
1. What is the GCD of 462, 380, 465, 432?
GCD of given numbers 462, 380, 465, 432 is 1
2. How to calculate the greatest common divisor of 462, 380, 465, 432?
We can find the highest common divisor of 462, 380, 465, 432 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 462, 380, 465, 432 i.e 1.
3. How can I use the GCD of 462, 380, 465, 432Calculator?
Out the numbers 462, 380, 465, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.