Online GCD Calculator is useful to find the GCD of 328, 668, 840, 424 quickly. Get the easiest ways to solve the greatest common divisor of 328, 668, 840, 424 i.e 4 in different methods as follows.
Given Input numbers are 328, 668, 840, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (328, 668, 840, 424) = 4.
Given numbers are 328, 668, 840, 424
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 668 are 2 x 2 x 167
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 424 are 2 x 2 x 2 x 53
The highest common occurrence is 22
Therefore, GCD of 328, 668, 840, 424 is 4.
Given numbers are 328, 668, 840, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 668) = 54776
GCD(328, 668) = ( 328 x 668 ) / 54776
= 328 / 668
= 328
Step2:
LCM(4, 840) = 840
GCD(4, 840) = ( 4 x 840 ) / 840
= 4 / 840
= 4
Step3:
LCM(4, 424) = 424
GCD(4, 424) = ( 4 x 424 ) / 424
= 4 / 424
= 4
So, Greatest Common Divisor of 328, 668, 840, 424 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 668, 840, 424
The greatest common divisor of numbers 328, 668, 840, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 668, 840, 424 is 4.
1. What is the GCD of 328, 668, 840, 424?
GCD of given numbers 328, 668, 840, 424 is 4
2. How to calculate the greatest common divisor of 328, 668, 840, 424?
We can find the highest common divisor of 328, 668, 840, 424 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 328, 668, 840, 424 i.e 4.
3. How can I use the GCD of 328, 668, 840, 424Calculator?
Out the numbers 328, 668, 840, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.