Online GCD Calculator is useful to find the GCD of 501, 597, 164, 213 quickly. Get the easiest ways to solve the greatest common divisor of 501, 597, 164, 213 i.e 1 in different methods as follows.
Given Input numbers are 501, 597, 164, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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 (501, 597, 164, 213) = 1.
Given numbers are 501, 597, 164, 213
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 597 are 3 x 199
Prime factors of 164 are 2 x 2 x 41
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 501, 597, 164, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 597) = 99699
GCD(501, 597) = ( 501 x 597 ) / 99699
= 501 / 597
= 501
Step2:
LCM(3, 164) = 492
GCD(3, 164) = ( 3 x 164 ) / 492
= 3 / 164
= 3
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 501, 597, 164, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 597, 164, 213
The greatest common divisor of numbers 501, 597, 164, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 597, 164, 213 is 1.
1. What is the GCD of 501, 597, 164, 213?
GCD of given numbers 501, 597, 164, 213 is 1
2. How to calculate the greatest common divisor of 501, 597, 164, 213?
We can find the highest common divisor of 501, 597, 164, 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 501, 597, 164, 213 i.e 1.
3. How can I use the GCD of 501, 597, 164, 213Calculator?
Out the numbers 501, 597, 164, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.