Online GCD Calculator is useful to find the GCD of 998, 422, 747, 898 quickly. Get the easiest ways to solve the greatest common divisor of 998, 422, 747, 898 i.e 1 in different methods as follows.
Given Input numbers are 998, 422, 747, 898
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 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (998, 422, 747, 898) = 1.
Given numbers are 998, 422, 747, 898
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 422 are 2 x 211
Prime factors of 747 are 3 x 3 x 83
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 422, 747, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 422) = 210578
GCD(998, 422) = ( 998 x 422 ) / 210578
= 998 / 422
= 998
Step2:
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
= 2 / 747
= 2
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 998, 422, 747, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 422, 747, 898
The greatest common divisor of numbers 998, 422, 747, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 422, 747, 898 is 1.
1. What is the GCD of 998, 422, 747, 898?
GCD of given numbers 998, 422, 747, 898 is 1
2. How to calculate the greatest common divisor of 998, 422, 747, 898?
We can find the highest common divisor of 998, 422, 747, 898 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, 422, 747, 898 i.e 1.
3. How can I use the GCD of 998, 422, 747, 898Calculator?
Out the numbers 998, 422, 747, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.