Online GCD Calculator is useful to find the GCD of 676, 296, 978, 608 quickly. Get the easiest ways to solve the greatest common divisor of 676, 296, 978, 608 i.e 2 in different methods as follows.
Given Input numbers are 676, 296, 978, 608
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (676, 296, 978, 608) = 2.
Given numbers are 676, 296, 978, 608
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 978 are 2 x 3 x 163
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 676, 296, 978, 608 is 2.
Given numbers are 676, 296, 978, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 296) = 50024
GCD(676, 296) = ( 676 x 296 ) / 50024
= 676 / 296
= 676
Step2:
LCM(4, 978) = 1956
GCD(4, 978) = ( 4 x 978 ) / 1956
= 4 / 978
= 4
Step3:
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
= 2 / 608
= 2
So, Greatest Common Divisor of 676, 296, 978, 608 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 296, 978, 608
The greatest common divisor of numbers 676, 296, 978, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 296, 978, 608 is 2.
1. What is the GCD of 676, 296, 978, 608?
GCD of given numbers 676, 296, 978, 608 is 2
2. How to calculate the greatest common divisor of 676, 296, 978, 608?
We can find the highest common divisor of 676, 296, 978, 608 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 676, 296, 978, 608 i.e 2.
3. How can I use the GCD of 676, 296, 978, 608Calculator?
Out the numbers 676, 296, 978, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.