Online GCD Calculator is useful to find the GCD of 372, 126, 168, 600 quickly. Get the easiest ways to solve the greatest common divisor of 372, 126, 168, 600 i.e 6 in different methods as follows.
Given Input numbers are 372, 126, 168, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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
GCD of numbers is the greatest common divisor
So, the GCD (372, 126, 168, 600) = 6.
Given numbers are 372, 126, 168, 600
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 372, 126, 168, 600 is 6.
Given numbers are 372, 126, 168, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 126) = 7812
GCD(372, 126) = ( 372 x 126 ) / 7812
= 372 / 126
= 372
Step2:
LCM(6, 168) = 168
GCD(6, 168) = ( 6 x 168 ) / 168
= 6 / 168
= 6
Step3:
LCM(6, 600) = 600
GCD(6, 600) = ( 6 x 600 ) / 600
= 6 / 600
= 6
So, Greatest Common Divisor of 372, 126, 168, 600 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 126, 168, 600
The greatest common divisor of numbers 372, 126, 168, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 126, 168, 600 is 6.
1. What is the GCD of 372, 126, 168, 600?
GCD of given numbers 372, 126, 168, 600 is 6
2. How to calculate the greatest common divisor of 372, 126, 168, 600?
We can find the highest common divisor of 372, 126, 168, 600 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 372, 126, 168, 600 i.e 6.
3. How can I use the GCD of 372, 126, 168, 600Calculator?
Out the numbers 372, 126, 168, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.