Online GCD Calculator is useful to find the GCD of 171, 521, 720, 821 quickly. Get the easiest ways to solve the greatest common divisor of 171, 521, 720, 821 i.e 1 in different methods as follows.
Given Input numbers are 171, 521, 720, 821
In the factoring method, we have to find the divisors of all numbers
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (171, 521, 720, 821) = 1.
Given numbers are 171, 521, 720, 821
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 521 are 521
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 171, 521, 720, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 521) = 89091
GCD(171, 521) = ( 171 x 521 ) / 89091
= 171 / 521
= 171
Step2:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
Step3:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
So, Greatest Common Divisor of 171, 521, 720, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 171, 521, 720, 821
The greatest common divisor of numbers 171, 521, 720, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 521, 720, 821 is 1.
1. What is the GCD of 171, 521, 720, 821?
GCD of given numbers 171, 521, 720, 821 is 1
2. How to calculate the greatest common divisor of 171, 521, 720, 821?
We can find the highest common divisor of 171, 521, 720, 821 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 171, 521, 720, 821 i.e 1.
3. How can I use the GCD of 171, 521, 720, 821Calculator?
Out the numbers 171, 521, 720, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.