Online GCD Calculator is useful to find the GCD of 838, 148, 978, 998 quickly. Get the easiest ways to solve the greatest common divisor of 838, 148, 978, 998 i.e 2 in different methods as follows.
Given Input numbers are 838, 148, 978, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (838, 148, 978, 998) = 2.
Given numbers are 838, 148, 978, 998
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 148 are 2 x 2 x 37
Prime factors of 978 are 2 x 3 x 163
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 838, 148, 978, 998 is 2.
Given numbers are 838, 148, 978, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 148) = 62012
GCD(838, 148) = ( 838 x 148 ) / 62012
= 838 / 148
= 838
Step2:
LCM(2, 978) = 978
GCD(2, 978) = ( 2 x 978 ) / 978
= 2 / 978
= 2
Step3:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
So, Greatest Common Divisor of 838, 148, 978, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 148, 978, 998
The greatest common divisor of numbers 838, 148, 978, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 148, 978, 998 is 2.
1. What is the GCD of 838, 148, 978, 998?
GCD of given numbers 838, 148, 978, 998 is 2
2. How to calculate the greatest common divisor of 838, 148, 978, 998?
We can find the highest common divisor of 838, 148, 978, 998 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 838, 148, 978, 998 i.e 2.
3. How can I use the GCD of 838, 148, 978, 998Calculator?
Out the numbers 838, 148, 978, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.