Online GCD Calculator is useful to find the GCD of 986, 600, 494, 964 quickly. Get the easiest ways to solve the greatest common divisor of 986, 600, 494, 964 i.e 2 in different methods as follows.
Given Input numbers are 986, 600, 494, 964
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
GCD of numbers is the greatest common divisor
So, the GCD (986, 600, 494, 964) = 2.
Given numbers are 986, 600, 494, 964
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 494 are 2 x 13 x 19
Prime factors of 964 are 2 x 2 x 241
The highest common occurrence is 21
Therefore, GCD of 986, 600, 494, 964 is 2.
Given numbers are 986, 600, 494, 964
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 600) = 295800
GCD(986, 600) = ( 986 x 600 ) / 295800
= 986 / 600
= 986
Step2:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
Step3:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
So, Greatest Common Divisor of 986, 600, 494, 964 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 600, 494, 964
The greatest common divisor of numbers 986, 600, 494, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 600, 494, 964 is 2.
1. What is the GCD of 986, 600, 494, 964?
GCD of given numbers 986, 600, 494, 964 is 2
2. How to calculate the greatest common divisor of 986, 600, 494, 964?
We can find the highest common divisor of 986, 600, 494, 964 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 986, 600, 494, 964 i.e 2.
3. How can I use the GCD of 986, 600, 494, 964Calculator?
Out the numbers 986, 600, 494, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.