Online GCD Calculator is useful to find the GCD of 462, 978, 414 quickly. Get the easiest ways to solve the greatest common divisor of 462, 978, 414 i.e 6 in different methods as follows.
Given Input numbers are 462, 978, 414
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (462, 978, 414) = 6.
Given numbers are 462, 978, 414
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 978 are 2 x 3 x 163
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 21 x 31
Therefore, GCD of 462, 978, 414 is 6.
Given numbers are 462, 978, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 978) = 75306
GCD(462, 978) = ( 462 x 978 ) / 75306
= 462 / 978
= 462
Step2:
LCM(6, 414) = 414
GCD(6, 414) = ( 6 x 414 ) / 414
= 6 / 414
= 6
So, Greatest Common Divisor of 462, 978, 414 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 978, 414
The greatest common divisor of numbers 462, 978, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 978, 414 is 6.
1. What is the GCD of 462, 978, 414?
GCD of given numbers 462, 978, 414 is 6
2. How to calculate the greatest common divisor of 462, 978, 414?
We can find the highest common divisor of 462, 978, 414 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 462, 978, 414 i.e 6.
3. How can I use the GCD of 462, 978, 414Calculator?
Out the numbers 462, 978, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.