Online GCD Calculator is useful to find the GCD of 998, 586, 743, 228 quickly. Get the easiest ways to solve the greatest common divisor of 998, 586, 743, 228 i.e 1 in different methods as follows.
Given Input numbers are 998, 586, 743, 228
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 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (998, 586, 743, 228) = 1.
Given numbers are 998, 586, 743, 228
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 586 are 2 x 293
Prime factors of 743 are 743
Prime factors of 228 are 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 586, 743, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 586) = 292414
GCD(998, 586) = ( 998 x 586 ) / 292414
= 998 / 586
= 998
Step2:
LCM(2, 743) = 1486
GCD(2, 743) = ( 2 x 743 ) / 1486
= 2 / 743
= 2
Step3:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
So, Greatest Common Divisor of 998, 586, 743, 228 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 586, 743, 228
The greatest common divisor of numbers 998, 586, 743, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 586, 743, 228 is 1.
1. What is the GCD of 998, 586, 743, 228?
GCD of given numbers 998, 586, 743, 228 is 1
2. How to calculate the greatest common divisor of 998, 586, 743, 228?
We can find the highest common divisor of 998, 586, 743, 228 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, 586, 743, 228 i.e 1.
3. How can I use the GCD of 998, 586, 743, 228Calculator?
Out the numbers 998, 586, 743, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.