Online GCD Calculator is useful to find the GCD of 634, 654, 500, 396 quickly. Get the easiest ways to solve the greatest common divisor of 634, 654, 500, 396 i.e 2 in different methods as follows.
Given Input numbers are 634, 654, 500, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
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 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (634, 654, 500, 396) = 2.
Given numbers are 634, 654, 500, 396
The list of prime factors of all numbers are
Prime factors of 634 are 2 x 317
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 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 634, 654, 500, 396 is 2.
Given numbers are 634, 654, 500, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(634, 654) = 207318
GCD(634, 654) = ( 634 x 654 ) / 207318
= 634 / 654
= 634
Step2:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
Step3:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
So, Greatest Common Divisor of 634, 654, 500, 396 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 634, 654, 500, 396
The greatest common divisor of numbers 634, 654, 500, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 654, 500, 396 is 2.
1. What is the GCD of 634, 654, 500, 396?
GCD of given numbers 634, 654, 500, 396 is 2
2. How to calculate the greatest common divisor of 634, 654, 500, 396?
We can find the highest common divisor of 634, 654, 500, 396 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 634, 654, 500, 396 i.e 2.
3. How can I use the GCD of 634, 654, 500, 396Calculator?
Out the numbers 634, 654, 500, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.