Online GCD Calculator is useful to find the GCD of 532, 450, 486, 644 quickly. Get the easiest ways to solve the greatest common divisor of 532, 450, 486, 644 i.e 2 in different methods as follows.
Given Input numbers are 532, 450, 486, 644
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
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 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (532, 450, 486, 644) = 2.
Given numbers are 532, 450, 486, 644
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 644 are 2 x 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 532, 450, 486, 644 is 2.
Given numbers are 532, 450, 486, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 450) = 119700
GCD(532, 450) = ( 532 x 450 ) / 119700
= 532 / 450
= 532
Step2:
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
= 2 / 486
= 2
Step3:
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
= 2 / 644
= 2
So, Greatest Common Divisor of 532, 450, 486, 644 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 450, 486, 644
The greatest common divisor of numbers 532, 450, 486, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 450, 486, 644 is 2.
1. What is the GCD of 532, 450, 486, 644?
GCD of given numbers 532, 450, 486, 644 is 2
2. How to calculate the greatest common divisor of 532, 450, 486, 644?
We can find the highest common divisor of 532, 450, 486, 644 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 532, 450, 486, 644 i.e 2.
3. How can I use the GCD of 532, 450, 486, 644Calculator?
Out the numbers 532, 450, 486, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.