Online GCD Calculator is useful to find the GCD of 486, 372, 375, 213 quickly. Get the easiest ways to solve the greatest common divisor of 486, 372, 375, 213 i.e 3 in different methods as follows.
Given Input numbers are 486, 372, 375, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (486, 372, 375, 213) = 3.
Given numbers are 486, 372, 375, 213
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 486, 372, 375, 213 is 3.
Given numbers are 486, 372, 375, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 372) = 30132
GCD(486, 372) = ( 486 x 372 ) / 30132
= 486 / 372
= 486
Step2:
LCM(6, 375) = 750
GCD(6, 375) = ( 6 x 375 ) / 750
= 6 / 375
= 6
Step3:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
So, Greatest Common Divisor of 486, 372, 375, 213 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 372, 375, 213
The greatest common divisor of numbers 486, 372, 375, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 372, 375, 213 is 3.
1. What is the GCD of 486, 372, 375, 213?
GCD of given numbers 486, 372, 375, 213 is 3
2. How to calculate the greatest common divisor of 486, 372, 375, 213?
We can find the highest common divisor of 486, 372, 375, 213 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 486, 372, 375, 213 i.e 3.
3. How can I use the GCD of 486, 372, 375, 213Calculator?
Out the numbers 486, 372, 375, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.