Online GCD Calculator is useful to find the GCD of 600, 222, 322, 122 quickly. Get the easiest ways to solve the greatest common divisor of 600, 222, 322, 122 i.e 2 in different methods as follows.
Given Input numbers are 600, 222, 322, 122
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 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (600, 222, 322, 122) = 2.
Given numbers are 600, 222, 322, 122
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 222 are 2 x 3 x 37
Prime factors of 322 are 2 x 7 x 23
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 600, 222, 322, 122 is 2.
Given numbers are 600, 222, 322, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 222) = 22200
GCD(600, 222) = ( 600 x 222 ) / 22200
= 600 / 222
= 600
Step2:
LCM(6, 322) = 966
GCD(6, 322) = ( 6 x 322 ) / 966
= 6 / 322
= 6
Step3:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
So, Greatest Common Divisor of 600, 222, 322, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 222, 322, 122
The greatest common divisor of numbers 600, 222, 322, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 222, 322, 122 is 2.
1. What is the GCD of 600, 222, 322, 122?
GCD of given numbers 600, 222, 322, 122 is 2
2. How to calculate the greatest common divisor of 600, 222, 322, 122?
We can find the highest common divisor of 600, 222, 322, 122 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, 222, 322, 122 i.e 2.
3. How can I use the GCD of 600, 222, 322, 122Calculator?
Out the numbers 600, 222, 322, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.