Online GCD Calculator is useful to find the GCD of 521, 162, 198, 224 quickly. Get the easiest ways to solve the greatest common divisor of 521, 162, 198, 224 i.e 1 in different methods as follows.
Given Input numbers are 521, 162, 198, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (521, 162, 198, 224) = 1.
Given numbers are 521, 162, 198, 224
The list of prime factors of all numbers are
Prime factors of 521 are 521
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 521, 162, 198, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(521, 162) = 84402
GCD(521, 162) = ( 521 x 162 ) / 84402
= 521 / 162
= 521
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
So, Greatest Common Divisor of 521, 162, 198, 224 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 521, 162, 198, 224
The greatest common divisor of numbers 521, 162, 198, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 162, 198, 224 is 1.
1. What is the GCD of 521, 162, 198, 224?
GCD of given numbers 521, 162, 198, 224 is 1
2. How to calculate the greatest common divisor of 521, 162, 198, 224?
We can find the highest common divisor of 521, 162, 198, 224 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 521, 162, 198, 224 i.e 1.
3. How can I use the GCD of 521, 162, 198, 224Calculator?
Out the numbers 521, 162, 198, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.