Online GCD Calculator is useful to find the GCD of 682, 660, 482, 496 quickly. Get the easiest ways to solve the greatest common divisor of 682, 660, 482, 496 i.e 2 in different methods as follows.
Given Input numbers are 682, 660, 482, 496
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (682, 660, 482, 496) = 2.
Given numbers are 682, 660, 482, 496
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 482 are 2 x 241
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 682, 660, 482, 496 is 2.
Given numbers are 682, 660, 482, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 660) = 20460
GCD(682, 660) = ( 682 x 660 ) / 20460
= 682 / 660
= 682
Step2:
LCM(22, 482) = 5302
GCD(22, 482) = ( 22 x 482 ) / 5302
= 22 / 482
= 22
Step3:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
So, Greatest Common Divisor of 682, 660, 482, 496 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 660, 482, 496
The greatest common divisor of numbers 682, 660, 482, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 660, 482, 496 is 2.
1. What is the GCD of 682, 660, 482, 496?
GCD of given numbers 682, 660, 482, 496 is 2
2. How to calculate the greatest common divisor of 682, 660, 482, 496?
We can find the highest common divisor of 682, 660, 482, 496 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 682, 660, 482, 496 i.e 2.
3. How can I use the GCD of 682, 660, 482, 496Calculator?
Out the numbers 682, 660, 482, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.