Online GCD Calculator is useful to find the GCD of 494, 654, 500, 682 quickly. Get the easiest ways to solve the greatest common divisor of 494, 654, 500, 682 i.e 2 in different methods as follows.
Given Input numbers are 494, 654, 500, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (494, 654, 500, 682) = 2.
Given numbers are 494, 654, 500, 682
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 654 are 2 x 3 x 109
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 494, 654, 500, 682 is 2.
Given numbers are 494, 654, 500, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 654) = 161538
GCD(494, 654) = ( 494 x 654 ) / 161538
= 494 / 654
= 494
Step2:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 494, 654, 500, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 654, 500, 682
The greatest common divisor of numbers 494, 654, 500, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 654, 500, 682 is 2.
1. What is the GCD of 494, 654, 500, 682?
GCD of given numbers 494, 654, 500, 682 is 2
2. How to calculate the greatest common divisor of 494, 654, 500, 682?
We can find the highest common divisor of 494, 654, 500, 682 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 494, 654, 500, 682 i.e 2.
3. How can I use the GCD of 494, 654, 500, 682Calculator?
Out the numbers 494, 654, 500, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.