Online GCD Calculator is useful to find the GCD of 132, 170, 444, 420 quickly. Get the easiest ways to solve the greatest common divisor of 132, 170, 444, 420 i.e 2 in different methods as follows.
Given Input numbers are 132, 170, 444, 420
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 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (132, 170, 444, 420) = 2.
Given numbers are 132, 170, 444, 420
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 170 are 2 x 5 x 17
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 132, 170, 444, 420 is 2.
Given numbers are 132, 170, 444, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 170) = 11220
GCD(132, 170) = ( 132 x 170 ) / 11220
= 132 / 170
= 132
Step2:
LCM(2, 444) = 444
GCD(2, 444) = ( 2 x 444 ) / 444
= 2 / 444
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 132, 170, 444, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 170, 444, 420
The greatest common divisor of numbers 132, 170, 444, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 170, 444, 420 is 2.
1. What is the GCD of 132, 170, 444, 420?
GCD of given numbers 132, 170, 444, 420 is 2
2. How to calculate the greatest common divisor of 132, 170, 444, 420?
We can find the highest common divisor of 132, 170, 444, 420 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, 170, 444, 420 i.e 2.
3. How can I use the GCD of 132, 170, 444, 420Calculator?
Out the numbers 132, 170, 444, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.