Online GCD Calculator is useful to find the GCD of 528, 130, 150, 450 quickly. Get the easiest ways to solve the greatest common divisor of 528, 130, 150, 450 i.e 2 in different methods as follows.
Given Input numbers are 528, 130, 150, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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
GCD of numbers is the greatest common divisor
So, the GCD (528, 130, 150, 450) = 2.
Given numbers are 528, 130, 150, 450
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 130 are 2 x 5 x 13
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 528, 130, 150, 450 is 2.
Given numbers are 528, 130, 150, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 130) = 34320
GCD(528, 130) = ( 528 x 130 ) / 34320
= 528 / 130
= 528
Step2:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
Step3:
LCM(2, 450) = 450
GCD(2, 450) = ( 2 x 450 ) / 450
= 2 / 450
= 2
So, Greatest Common Divisor of 528, 130, 150, 450 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 130, 150, 450
The greatest common divisor of numbers 528, 130, 150, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 130, 150, 450 is 2.
1. What is the GCD of 528, 130, 150, 450?
GCD of given numbers 528, 130, 150, 450 is 2
2. How to calculate the greatest common divisor of 528, 130, 150, 450?
We can find the highest common divisor of 528, 130, 150, 450 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 528, 130, 150, 450 i.e 2.
3. How can I use the GCD of 528, 130, 150, 450Calculator?
Out the numbers 528, 130, 150, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.