Online GCD Calculator is useful to find the GCD of 978, 838, 708, 198 quickly. Get the easiest ways to solve the greatest common divisor of 978, 838, 708, 198 i.e 2 in different methods as follows.
Given Input numbers are 978, 838, 708, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (978, 838, 708, 198) = 2.
Given numbers are 978, 838, 708, 198
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 838 are 2 x 419
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 978, 838, 708, 198 is 2.
Given numbers are 978, 838, 708, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 838) = 409782
GCD(978, 838) = ( 978 x 838 ) / 409782
= 978 / 838
= 978
Step2:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
Step3:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
So, Greatest Common Divisor of 978, 838, 708, 198 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 838, 708, 198
The greatest common divisor of numbers 978, 838, 708, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 838, 708, 198 is 2.
1. What is the GCD of 978, 838, 708, 198?
GCD of given numbers 978, 838, 708, 198 is 2
2. How to calculate the greatest common divisor of 978, 838, 708, 198?
We can find the highest common divisor of 978, 838, 708, 198 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 978, 838, 708, 198 i.e 2.
3. How can I use the GCD of 978, 838, 708, 198Calculator?
Out the numbers 978, 838, 708, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.