Online GCD Calculator is useful to find the GCD of 469, 213, 214, 162 quickly. Get the easiest ways to solve the greatest common divisor of 469, 213, 214, 162 i.e 1 in different methods as follows.
Given Input numbers are 469, 213, 214, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (469, 213, 214, 162) = 1.
Given numbers are 469, 213, 214, 162
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 213 are 3 x 71
Prime factors of 214 are 2 x 107
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 469, 213, 214, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 213) = 99897
GCD(469, 213) = ( 469 x 213 ) / 99897
= 469 / 213
= 469
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
Step3:
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
= 1 / 162
= 1
So, Greatest Common Divisor of 469, 213, 214, 162 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 469, 213, 214, 162
The greatest common divisor of numbers 469, 213, 214, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 213, 214, 162 is 1.
1. What is the GCD of 469, 213, 214, 162?
GCD of given numbers 469, 213, 214, 162 is 1
2. How to calculate the greatest common divisor of 469, 213, 214, 162?
We can find the highest common divisor of 469, 213, 214, 162 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 469, 213, 214, 162 i.e 1.
3. How can I use the GCD of 469, 213, 214, 162Calculator?
Out the numbers 469, 213, 214, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.