Online GCD Calculator is useful to find the GCD of 646, 500, 130, 696 quickly. Get the easiest ways to solve the greatest common divisor of 646, 500, 130, 696 i.e 2 in different methods as follows.
Given Input numbers are 646, 500, 130, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
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 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (646, 500, 130, 696) = 2.
Given numbers are 646, 500, 130, 696
The list of prime factors of all numbers are
Prime factors of 646 are 2 x 17 x 19
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 130 are 2 x 5 x 13
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 646, 500, 130, 696 is 2.
Given numbers are 646, 500, 130, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(646, 500) = 161500
GCD(646, 500) = ( 646 x 500 ) / 161500
= 646 / 500
= 646
Step2:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
Step3:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
So, Greatest Common Divisor of 646, 500, 130, 696 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 646, 500, 130, 696
The greatest common divisor of numbers 646, 500, 130, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 500, 130, 696 is 2.
1. What is the GCD of 646, 500, 130, 696?
GCD of given numbers 646, 500, 130, 696 is 2
2. How to calculate the greatest common divisor of 646, 500, 130, 696?
We can find the highest common divisor of 646, 500, 130, 696 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 646, 500, 130, 696 i.e 2.
3. How can I use the GCD of 646, 500, 130, 696Calculator?
Out the numbers 646, 500, 130, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.