Online GCD Calculator is useful to find the GCD of 488, 423, 891, 213 quickly. Get the easiest ways to solve the greatest common divisor of 488, 423, 891, 213 i.e 1 in different methods as follows.
Given Input numbers are 488, 423, 891, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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 (488, 423, 891, 213) = 1.
Given numbers are 488, 423, 891, 213
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 423 are 3 x 3 x 47
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
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 488, 423, 891, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 423) = 206424
GCD(488, 423) = ( 488 x 423 ) / 206424
= 488 / 423
= 488
Step2:
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
= 1 / 891
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 488, 423, 891, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 423, 891, 213
The greatest common divisor of numbers 488, 423, 891, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 423, 891, 213 is 1.
1. What is the GCD of 488, 423, 891, 213?
GCD of given numbers 488, 423, 891, 213 is 1
2. How to calculate the greatest common divisor of 488, 423, 891, 213?
We can find the highest common divisor of 488, 423, 891, 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 488, 423, 891, 213 i.e 1.
3. How can I use the GCD of 488, 423, 891, 213Calculator?
Out the numbers 488, 423, 891, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.