Online GCD Calculator is useful to find the GCD of 998, 164, 906, 980 quickly. Get the easiest ways to solve the greatest common divisor of 998, 164, 906, 980 i.e 2 in different methods as follows.
Given Input numbers are 998, 164, 906, 980
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (998, 164, 906, 980) = 2.
Given numbers are 998, 164, 906, 980
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 164 are 2 x 2 x 41
Prime factors of 906 are 2 x 3 x 151
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 998, 164, 906, 980 is 2.
Given numbers are 998, 164, 906, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 164) = 81836
GCD(998, 164) = ( 998 x 164 ) / 81836
= 998 / 164
= 998
Step2:
LCM(2, 906) = 906
GCD(2, 906) = ( 2 x 906 ) / 906
= 2 / 906
= 2
Step3:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
So, Greatest Common Divisor of 998, 164, 906, 980 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 164, 906, 980
The greatest common divisor of numbers 998, 164, 906, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 164, 906, 980 is 2.
1. What is the GCD of 998, 164, 906, 980?
GCD of given numbers 998, 164, 906, 980 is 2
2. How to calculate the greatest common divisor of 998, 164, 906, 980?
We can find the highest common divisor of 998, 164, 906, 980 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, 164, 906, 980 i.e 2.
3. How can I use the GCD of 998, 164, 906, 980Calculator?
Out the numbers 998, 164, 906, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.