Online GCD Calculator is useful to find the GCD of 978, 129, 981, 645 quickly. Get the easiest ways to solve the greatest common divisor of 978, 129, 981, 645 i.e 3 in different methods as follows.
Given Input numbers are 978, 129, 981, 645
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 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (978, 129, 981, 645) = 3.
Given numbers are 978, 129, 981, 645
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 129 are 3 x 43
Prime factors of 981 are 3 x 3 x 109
Prime factors of 645 are 3 x 5 x 43
The highest common occurrence is 31
Therefore, GCD of 978, 129, 981, 645 is 3.
Given numbers are 978, 129, 981, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 129) = 42054
GCD(978, 129) = ( 978 x 129 ) / 42054
= 978 / 129
= 978
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
Step3:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
So, Greatest Common Divisor of 978, 129, 981, 645 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 129, 981, 645
The greatest common divisor of numbers 978, 129, 981, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 129, 981, 645 is 3.
1. What is the GCD of 978, 129, 981, 645?
GCD of given numbers 978, 129, 981, 645 is 3
2. How to calculate the greatest common divisor of 978, 129, 981, 645?
We can find the highest common divisor of 978, 129, 981, 645 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, 129, 981, 645 i.e 3.
3. How can I use the GCD of 978, 129, 981, 645Calculator?
Out the numbers 978, 129, 981, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.