Online GCD Calculator is useful to find the GCD of 345, 612, 321, 477 quickly. Get the easiest ways to solve the greatest common divisor of 345, 612, 321, 477 i.e 3 in different methods as follows.
Given Input numbers are 345, 612, 321, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (345, 612, 321, 477) = 3.
Given numbers are 345, 612, 321, 477
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 321 are 3 x 107
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 345, 612, 321, 477 is 3.
Given numbers are 345, 612, 321, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 612) = 70380
GCD(345, 612) = ( 345 x 612 ) / 70380
= 345 / 612
= 345
Step2:
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
= 3 / 321
= 3
Step3:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
So, Greatest Common Divisor of 345, 612, 321, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 612, 321, 477
The greatest common divisor of numbers 345, 612, 321, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 612, 321, 477 is 3.
1. What is the GCD of 345, 612, 321, 477?
GCD of given numbers 345, 612, 321, 477 is 3
2. How to calculate the greatest common divisor of 345, 612, 321, 477?
We can find the highest common divisor of 345, 612, 321, 477 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 345, 612, 321, 477 i.e 3.
3. How can I use the GCD of 345, 612, 321, 477Calculator?
Out the numbers 345, 612, 321, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.