Online GCD Calculator is useful to find the GCD of 408, 978, 680, 432 quickly. Get the easiest ways to solve the greatest common divisor of 408, 978, 680, 432 i.e 2 in different methods as follows.
Given Input numbers are 408, 978, 680, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (408, 978, 680, 432) = 2.
Given numbers are 408, 978, 680, 432
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 978 are 2 x 3 x 163
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 408, 978, 680, 432 is 2.
Given numbers are 408, 978, 680, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 978) = 66504
GCD(408, 978) = ( 408 x 978 ) / 66504
= 408 / 978
= 408
Step2:
LCM(6, 680) = 2040
GCD(6, 680) = ( 6 x 680 ) / 2040
= 6 / 680
= 6
Step3:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
So, Greatest Common Divisor of 408, 978, 680, 432 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 978, 680, 432
The greatest common divisor of numbers 408, 978, 680, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 978, 680, 432 is 2.
1. What is the GCD of 408, 978, 680, 432?
GCD of given numbers 408, 978, 680, 432 is 2
2. How to calculate the greatest common divisor of 408, 978, 680, 432?
We can find the highest common divisor of 408, 978, 680, 432 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 408, 978, 680, 432 i.e 2.
3. How can I use the GCD of 408, 978, 680, 432Calculator?
Out the numbers 408, 978, 680, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.