Online GCD Calculator is useful to find the GCD of 321, 453, 945, 465 quickly. Get the easiest ways to solve the greatest common divisor of 321, 453, 945, 465 i.e 3 in different methods as follows.
Given Input numbers are 321, 453, 945, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (321, 453, 945, 465) = 3.
Given numbers are 321, 453, 945, 465
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 453 are 3 x 151
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 321, 453, 945, 465 is 3.
Given numbers are 321, 453, 945, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 453) = 48471
GCD(321, 453) = ( 321 x 453 ) / 48471
= 321 / 453
= 321
Step2:
LCM(3, 945) = 945
GCD(3, 945) = ( 3 x 945 ) / 945
= 3 / 945
= 3
Step3:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
So, Greatest Common Divisor of 321, 453, 945, 465 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 453, 945, 465
The greatest common divisor of numbers 321, 453, 945, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 453, 945, 465 is 3.
1. What is the GCD of 321, 453, 945, 465?
GCD of given numbers 321, 453, 945, 465 is 3
2. How to calculate the greatest common divisor of 321, 453, 945, 465?
We can find the highest common divisor of 321, 453, 945, 465 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 321, 453, 945, 465 i.e 3.
3. How can I use the GCD of 321, 453, 945, 465Calculator?
Out the numbers 321, 453, 945, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.