Online GCD Calculator is useful to find the GCD of 600, 474, 460, 132 quickly. Get the easiest ways to solve the greatest common divisor of 600, 474, 460, 132 i.e 2 in different methods as follows.
Given Input numbers are 600, 474, 460, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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
GCD of numbers is the greatest common divisor
So, the GCD (600, 474, 460, 132) = 2.
Given numbers are 600, 474, 460, 132
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 600, 474, 460, 132 is 2.
Given numbers are 600, 474, 460, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 474) = 47400
GCD(600, 474) = ( 600 x 474 ) / 47400
= 600 / 474
= 600
Step2:
LCM(6, 460) = 1380
GCD(6, 460) = ( 6 x 460 ) / 1380
= 6 / 460
= 6
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 600, 474, 460, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 474, 460, 132
The greatest common divisor of numbers 600, 474, 460, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 474, 460, 132 is 2.
1. What is the GCD of 600, 474, 460, 132?
GCD of given numbers 600, 474, 460, 132 is 2
2. How to calculate the greatest common divisor of 600, 474, 460, 132?
We can find the highest common divisor of 600, 474, 460, 132 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 600, 474, 460, 132 i.e 2.
3. How can I use the GCD of 600, 474, 460, 132Calculator?
Out the numbers 600, 474, 460, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.