Online GCD Calculator is useful to find the GCD of 570, 645, 450, 321 quickly. Get the easiest ways to solve the greatest common divisor of 570, 645, 450, 321 i.e 3 in different methods as follows.
Given Input numbers are 570, 645, 450, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (570, 645, 450, 321) = 3.
Given numbers are 570, 645, 450, 321
The list of prime factors of all numbers are
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 645 are 3 x 5 x 43
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 321 are 3 x 107
The highest common occurrence is 31
Therefore, GCD of 570, 645, 450, 321 is 3.
Given numbers are 570, 645, 450, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(570, 645) = 24510
GCD(570, 645) = ( 570 x 645 ) / 24510
= 570 / 645
= 570
Step2:
LCM(15, 450) = 450
GCD(15, 450) = ( 15 x 450 ) / 450
= 15 / 450
= 15
Step3:
LCM(15, 321) = 1605
GCD(15, 321) = ( 15 x 321 ) / 1605
= 15 / 321
= 15
So, Greatest Common Divisor of 570, 645, 450, 321 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 570, 645, 450, 321
The greatest common divisor of numbers 570, 645, 450, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 645, 450, 321 is 3.
1. What is the GCD of 570, 645, 450, 321?
GCD of given numbers 570, 645, 450, 321 is 3
2. How to calculate the greatest common divisor of 570, 645, 450, 321?
We can find the highest common divisor of 570, 645, 450, 321 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 570, 645, 450, 321 i.e 3.
3. How can I use the GCD of 570, 645, 450, 321Calculator?
Out the numbers 570, 645, 450, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.