Online GCD Calculator is useful to find the GCD of 516, 978, 972 quickly. Get the easiest ways to solve the greatest common divisor of 516, 978, 972 i.e 6 in different methods as follows.
Given Input numbers are 516, 978, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (516, 978, 972) = 6.
Given numbers are 516, 978, 972
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 978 are 2 x 3 x 163
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 516, 978, 972 is 6.
Given numbers are 516, 978, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 978) = 84108
GCD(516, 978) = ( 516 x 978 ) / 84108
= 516 / 978
= 516
Step2:
LCM(6, 972) = 972
GCD(6, 972) = ( 6 x 972 ) / 972
= 6 / 972
= 6
So, Greatest Common Divisor of 516, 978, 972 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 978, 972
The greatest common divisor of numbers 516, 978, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 978, 972 is 6.
1. What is the GCD of 516, 978, 972?
GCD of given numbers 516, 978, 972 is 6
2. How to calculate the greatest common divisor of 516, 978, 972?
We can find the highest common divisor of 516, 978, 972 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 516, 978, 972 i.e 6.
3. How can I use the GCD of 516, 978, 972Calculator?
Out the numbers 516, 978, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.