Online GCD Calculator is useful to find the GCD of 231, 798, 597, 213 quickly. Get the easiest ways to solve the greatest common divisor of 231, 798, 597, 213 i.e 3 in different methods as follows.
Given Input numbers are 231, 798, 597, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
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 (231, 798, 597, 213) = 3.
Given numbers are 231, 798, 597, 213
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 597 are 3 x 199
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 231, 798, 597, 213 is 3.
Given numbers are 231, 798, 597, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 798) = 8778
GCD(231, 798) = ( 231 x 798 ) / 8778
= 231 / 798
= 231
Step2:
LCM(21, 597) = 4179
GCD(21, 597) = ( 21 x 597 ) / 4179
= 21 / 597
= 21
Step3:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
So, Greatest Common Divisor of 231, 798, 597, 213 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 798, 597, 213
The greatest common divisor of numbers 231, 798, 597, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 798, 597, 213 is 3.
1. What is the GCD of 231, 798, 597, 213?
GCD of given numbers 231, 798, 597, 213 is 3
2. How to calculate the greatest common divisor of 231, 798, 597, 213?
We can find the highest common divisor of 231, 798, 597, 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 231, 798, 597, 213 i.e 3.
3. How can I use the GCD of 231, 798, 597, 213Calculator?
Out the numbers 231, 798, 597, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.