Online GCD Calculator is useful to find the GCD of 237, 834, 270, 213 quickly. Get the easiest ways to solve the greatest common divisor of 237, 834, 270, 213 i.e 3 in different methods as follows.
Given Input numbers are 237, 834, 270, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
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 (237, 834, 270, 213) = 3.
Given numbers are 237, 834, 270, 213
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 834 are 2 x 3 x 139
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 237, 834, 270, 213 is 3.
Given numbers are 237, 834, 270, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 834) = 65886
GCD(237, 834) = ( 237 x 834 ) / 65886
= 237 / 834
= 237
Step2:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
Step3:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
So, Greatest Common Divisor of 237, 834, 270, 213 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 834, 270, 213
The greatest common divisor of numbers 237, 834, 270, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 834, 270, 213 is 3.
1. What is the GCD of 237, 834, 270, 213?
GCD of given numbers 237, 834, 270, 213 is 3
2. How to calculate the greatest common divisor of 237, 834, 270, 213?
We can find the highest common divisor of 237, 834, 270, 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 237, 834, 270, 213 i.e 3.
3. How can I use the GCD of 237, 834, 270, 213Calculator?
Out the numbers 237, 834, 270, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.