Online GCD Calculator is useful to find the GCD of 424, 324, 854, 716 quickly. Get the easiest ways to solve the greatest common divisor of 424, 324, 854, 716 i.e 2 in different methods as follows.
Given Input numbers are 424, 324, 854, 716
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (424, 324, 854, 716) = 2.
Given numbers are 424, 324, 854, 716
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 854 are 2 x 7 x 61
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 424, 324, 854, 716 is 2.
Given numbers are 424, 324, 854, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 324) = 34344
GCD(424, 324) = ( 424 x 324 ) / 34344
= 424 / 324
= 424
Step2:
LCM(4, 854) = 1708
GCD(4, 854) = ( 4 x 854 ) / 1708
= 4 / 854
= 4
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 424, 324, 854, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 324, 854, 716
The greatest common divisor of numbers 424, 324, 854, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 324, 854, 716 is 2.
1. What is the GCD of 424, 324, 854, 716?
GCD of given numbers 424, 324, 854, 716 is 2
2. How to calculate the greatest common divisor of 424, 324, 854, 716?
We can find the highest common divisor of 424, 324, 854, 716 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 424, 324, 854, 716 i.e 2.
3. How can I use the GCD of 424, 324, 854, 716Calculator?
Out the numbers 424, 324, 854, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.