Online GCD Calculator is useful to find the GCD of 132, 828, 480, 172 quickly. Get the easiest ways to solve the greatest common divisor of 132, 828, 480, 172 i.e 4 in different methods as follows.
Given Input numbers are 132, 828, 480, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (132, 828, 480, 172) = 4.
Given numbers are 132, 828, 480, 172
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 132, 828, 480, 172 is 4.
Given numbers are 132, 828, 480, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 828) = 9108
GCD(132, 828) = ( 132 x 828 ) / 9108
= 132 / 828
= 132
Step2:
LCM(12, 480) = 480
GCD(12, 480) = ( 12 x 480 ) / 480
= 12 / 480
= 12
Step3:
LCM(12, 172) = 516
GCD(12, 172) = ( 12 x 172 ) / 516
= 12 / 172
= 12
So, Greatest Common Divisor of 132, 828, 480, 172 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 828, 480, 172
The greatest common divisor of numbers 132, 828, 480, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 828, 480, 172 is 4.
1. What is the GCD of 132, 828, 480, 172?
GCD of given numbers 132, 828, 480, 172 is 4
2. How to calculate the greatest common divisor of 132, 828, 480, 172?
We can find the highest common divisor of 132, 828, 480, 172 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 132, 828, 480, 172 i.e 4.
3. How can I use the GCD of 132, 828, 480, 172Calculator?
Out the numbers 132, 828, 480, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.