Online GCD Calculator is useful to find the GCD of 998, 187, 217, 564 quickly. Get the easiest ways to solve the greatest common divisor of 998, 187, 217, 564 i.e 1 in different methods as follows.
Given Input numbers are 998, 187, 217, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (998, 187, 217, 564) = 1.
Given numbers are 998, 187, 217, 564
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 187 are 11 x 17
Prime factors of 217 are 7 x 31
Prime factors of 564 are 2 x 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 187, 217, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 187) = 186626
GCD(998, 187) = ( 998 x 187 ) / 186626
= 998 / 187
= 998
Step2:
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
= 1 / 217
= 1
Step3:
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
= 1 / 564
= 1
So, Greatest Common Divisor of 998, 187, 217, 564 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 187, 217, 564
The greatest common divisor of numbers 998, 187, 217, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 187, 217, 564 is 1.
1. What is the GCD of 998, 187, 217, 564?
GCD of given numbers 998, 187, 217, 564 is 1
2. How to calculate the greatest common divisor of 998, 187, 217, 564?
We can find the highest common divisor of 998, 187, 217, 564 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 998, 187, 217, 564 i.e 1.
3. How can I use the GCD of 998, 187, 217, 564Calculator?
Out the numbers 998, 187, 217, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.