Online GCD Calculator is useful to find the GCD of 818, 978, 702, 974 quickly. Get the easiest ways to solve the greatest common divisor of 818, 978, 702, 974 i.e 2 in different methods as follows.
Given Input numbers are 818, 978, 702, 974
In the factoring method, we have to find the divisors of all numbers
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
GCD of numbers is the greatest common divisor
So, the GCD (818, 978, 702, 974) = 2.
Given numbers are 818, 978, 702, 974
The list of prime factors of all numbers are
Prime factors of 818 are 2 x 409
Prime factors of 978 are 2 x 3 x 163
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 974 are 2 x 487
The highest common occurrence is 21
Therefore, GCD of 818, 978, 702, 974 is 2.
Given numbers are 818, 978, 702, 974
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(818, 978) = 400002
GCD(818, 978) = ( 818 x 978 ) / 400002
= 818 / 978
= 818
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 974) = 974
GCD(2, 974) = ( 2 x 974 ) / 974
= 2 / 974
= 2
So, Greatest Common Divisor of 818, 978, 702, 974 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 818, 978, 702, 974
The greatest common divisor of numbers 818, 978, 702, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 818, 978, 702, 974 is 2.
1. What is the GCD of 818, 978, 702, 974?
GCD of given numbers 818, 978, 702, 974 is 2
2. How to calculate the greatest common divisor of 818, 978, 702, 974?
We can find the highest common divisor of 818, 978, 702, 974 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 818, 978, 702, 974 i.e 2.
3. How can I use the GCD of 818, 978, 702, 974Calculator?
Out the numbers 818, 978, 702, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.