Online GCD Calculator is useful to find the GCD of 521, 504, 119, 198 quickly. Get the easiest ways to solve the greatest common divisor of 521, 504, 119, 198 i.e 1 in different methods as follows.
Given Input numbers are 521, 504, 119, 198
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
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
GCD of numbers is the greatest common divisor
So, the GCD (521, 504, 119, 198) = 1.
Given numbers are 521, 504, 119, 198
The list of prime factors of all numbers are
Prime factors of 521 are 521
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 119 are 7 x 17
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 521, 504, 119, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(521, 504) = 262584
GCD(521, 504) = ( 521 x 504 ) / 262584
= 521 / 504
= 521
Step2:
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
= 1 / 119
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 521, 504, 119, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 521, 504, 119, 198
The greatest common divisor of numbers 521, 504, 119, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 504, 119, 198 is 1.
1. What is the GCD of 521, 504, 119, 198?
GCD of given numbers 521, 504, 119, 198 is 1
2. How to calculate the greatest common divisor of 521, 504, 119, 198?
We can find the highest common divisor of 521, 504, 119, 198 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, 504, 119, 198 i.e 1.
3. How can I use the GCD of 521, 504, 119, 198Calculator?
Out the numbers 521, 504, 119, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.