Online GCD Calculator is useful to find the GCD of 238, 284, 496, 213 quickly. Get the easiest ways to solve the greatest common divisor of 238, 284, 496, 213 i.e 1 in different methods as follows.
Given Input numbers are 238, 284, 496, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 (238, 284, 496, 213) = 1.
Given numbers are 238, 284, 496, 213
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 284 are 2 x 2 x 71
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 238, 284, 496, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 284) = 33796
GCD(238, 284) = ( 238 x 284 ) / 33796
= 238 / 284
= 238
Step2:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
Step3:
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
= 2 / 213
= 2
So, Greatest Common Divisor of 238, 284, 496, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 284, 496, 213
The greatest common divisor of numbers 238, 284, 496, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 284, 496, 213 is 1.
1. What is the GCD of 238, 284, 496, 213?
GCD of given numbers 238, 284, 496, 213 is 1
2. How to calculate the greatest common divisor of 238, 284, 496, 213?
We can find the highest common divisor of 238, 284, 496, 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 238, 284, 496, 213 i.e 1.
3. How can I use the GCD of 238, 284, 496, 213Calculator?
Out the numbers 238, 284, 496, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.