Online GCD Calculator is useful to find the GCD of 408, 682, 628, 440 quickly. Get the easiest ways to solve the greatest common divisor of 408, 682, 628, 440 i.e 2 in different methods as follows.
Given Input numbers are 408, 682, 628, 440
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (408, 682, 628, 440) = 2.
Given numbers are 408, 682, 628, 440
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 682 are 2 x 11 x 31
Prime factors of 628 are 2 x 2 x 157
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 408, 682, 628, 440 is 2.
Given numbers are 408, 682, 628, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 682) = 139128
GCD(408, 682) = ( 408 x 682 ) / 139128
= 408 / 682
= 408
Step2:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
Step3:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
So, Greatest Common Divisor of 408, 682, 628, 440 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 682, 628, 440
The greatest common divisor of numbers 408, 682, 628, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 682, 628, 440 is 2.
1. What is the GCD of 408, 682, 628, 440?
GCD of given numbers 408, 682, 628, 440 is 2
2. How to calculate the greatest common divisor of 408, 682, 628, 440?
We can find the highest common divisor of 408, 682, 628, 440 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, 682, 628, 440 i.e 2.
3. How can I use the GCD of 408, 682, 628, 440Calculator?
Out the numbers 408, 682, 628, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.