Online GCD Calculator is useful to find the GCD of 438, 290, 986, 222 quickly. Get the easiest ways to solve the greatest common divisor of 438, 290, 986, 222 i.e 2 in different methods as follows.
Given Input numbers are 438, 290, 986, 222
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (438, 290, 986, 222) = 2.
Given numbers are 438, 290, 986, 222
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 290 are 2 x 5 x 29
Prime factors of 986 are 2 x 17 x 29
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 438, 290, 986, 222 is 2.
Given numbers are 438, 290, 986, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 290) = 63510
GCD(438, 290) = ( 438 x 290 ) / 63510
= 438 / 290
= 438
Step2:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
Step3:
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
= 2 / 222
= 2
So, Greatest Common Divisor of 438, 290, 986, 222 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 290, 986, 222
The greatest common divisor of numbers 438, 290, 986, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 290, 986, 222 is 2.
1. What is the GCD of 438, 290, 986, 222?
GCD of given numbers 438, 290, 986, 222 is 2
2. How to calculate the greatest common divisor of 438, 290, 986, 222?
We can find the highest common divisor of 438, 290, 986, 222 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 438, 290, 986, 222 i.e 2.
3. How can I use the GCD of 438, 290, 986, 222Calculator?
Out the numbers 438, 290, 986, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.