Online GCD Calculator is useful to find the GCD of 453, 480, 564 quickly. Get the easiest ways to solve the greatest common divisor of 453, 480, 564 i.e 3 in different methods as follows.
Given Input numbers are 453, 480, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (453, 480, 564) = 3.
Given numbers are 453, 480, 564
The list of prime factors of all numbers are
Prime factors of 453 are 3 x 151
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 453, 480, 564 is 3.
Given numbers are 453, 480, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(453, 480) = 72480
GCD(453, 480) = ( 453 x 480 ) / 72480
= 453 / 480
= 453
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 453, 480, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 453, 480, 564
The greatest common divisor of numbers 453, 480, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 480, 564 is 3.
1. What is the GCD of 453, 480, 564?
GCD of given numbers 453, 480, 564 is 3
2. How to calculate the greatest common divisor of 453, 480, 564?
We can find the highest common divisor of 453, 480, 564 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 453, 480, 564 i.e 3.
3. How can I use the GCD of 453, 480, 564Calculator?
Out the numbers 453, 480, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.