Online GCD Calculator is useful to find the GCD of 600, 842, 418, 466 quickly. Get the easiest ways to solve the greatest common divisor of 600, 842, 418, 466 i.e 2 in different methods as follows.
Given Input numbers are 600, 842, 418, 466
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 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
GCD of numbers is the greatest common divisor
So, the GCD (600, 842, 418, 466) = 2.
Given numbers are 600, 842, 418, 466
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 842 are 2 x 421
Prime factors of 418 are 2 x 11 x 19
Prime factors of 466 are 2 x 233
The highest common occurrence is 21
Therefore, GCD of 600, 842, 418, 466 is 2.
Given numbers are 600, 842, 418, 466
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 842) = 252600
GCD(600, 842) = ( 600 x 842 ) / 252600
= 600 / 842
= 600
Step2:
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
= 2 / 418
= 2
Step3:
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
= 2 / 466
= 2
So, Greatest Common Divisor of 600, 842, 418, 466 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 842, 418, 466
The greatest common divisor of numbers 600, 842, 418, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 842, 418, 466 is 2.
1. What is the GCD of 600, 842, 418, 466?
GCD of given numbers 600, 842, 418, 466 is 2
2. How to calculate the greatest common divisor of 600, 842, 418, 466?
We can find the highest common divisor of 600, 842, 418, 466 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, 842, 418, 466 i.e 2.
3. How can I use the GCD of 600, 842, 418, 466Calculator?
Out the numbers 600, 842, 418, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.