Online GCD Calculator is useful to find the GCD of 213, 198, 792, 537 quickly. Get the easiest ways to solve the greatest common divisor of 213, 198, 792, 537 i.e 3 in different methods as follows.
Given Input numbers are 213, 198, 792, 537
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
GCD of numbers is the greatest common divisor
So, the GCD (213, 198, 792, 537) = 3.
Given numbers are 213, 198, 792, 537
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 537 are 3 x 179
The highest common occurrence is 31
Therefore, GCD of 213, 198, 792, 537 is 3.
Given numbers are 213, 198, 792, 537
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 198) = 14058
GCD(213, 198) = ( 213 x 198 ) / 14058
= 213 / 198
= 213
Step2:
LCM(3, 792) = 792
GCD(3, 792) = ( 3 x 792 ) / 792
= 3 / 792
= 3
Step3:
LCM(3, 537) = 537
GCD(3, 537) = ( 3 x 537 ) / 537
= 3 / 537
= 3
So, Greatest Common Divisor of 213, 198, 792, 537 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 198, 792, 537
The greatest common divisor of numbers 213, 198, 792, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 198, 792, 537 is 3.
1. What is the GCD of 213, 198, 792, 537?
GCD of given numbers 213, 198, 792, 537 is 3
2. How to calculate the greatest common divisor of 213, 198, 792, 537?
We can find the highest common divisor of 213, 198, 792, 537 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 213, 198, 792, 537 i.e 3.
3. How can I use the GCD of 213, 198, 792, 537Calculator?
Out the numbers 213, 198, 792, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.