Online GCD Calculator is useful to find the GCD of 421, 288, 345 quickly. Get the easiest ways to solve the greatest common divisor of 421, 288, 345 i.e 1 in different methods as follows.
Given Input numbers are 421, 288, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (421, 288, 345) = 1.
Given numbers are 421, 288, 345
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 288, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 288) = 121248
GCD(421, 288) = ( 421 x 288 ) / 121248
= 421 / 288
= 421
Step2:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
So, Greatest Common Divisor of 421, 288, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 288, 345
The greatest common divisor of numbers 421, 288, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 288, 345 is 1.
1. What is the GCD of 421, 288, 345?
GCD of given numbers 421, 288, 345 is 1
2. How to calculate the greatest common divisor of 421, 288, 345?
We can find the highest common divisor of 421, 288, 345 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 421, 288, 345 i.e 1.
3. How can I use the GCD of 421, 288, 345Calculator?
Out the numbers 421, 288, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.