Online GCD Calculator is useful to find the GCD of 500, 804, 706, 376 quickly. Get the easiest ways to solve the greatest common divisor of 500, 804, 706, 376 i.e 2 in different methods as follows.
Given Input numbers are 500, 804, 706, 376
In the factoring method, we have to find the divisors of all numbers
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 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
GCD of numbers is the greatest common divisor
So, the GCD (500, 804, 706, 376) = 2.
Given numbers are 500, 804, 706, 376
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 706 are 2 x 353
Prime factors of 376 are 2 x 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 500, 804, 706, 376 is 2.
Given numbers are 500, 804, 706, 376
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 804) = 100500
GCD(500, 804) = ( 500 x 804 ) / 100500
= 500 / 804
= 500
Step2:
LCM(4, 706) = 1412
GCD(4, 706) = ( 4 x 706 ) / 1412
= 4 / 706
= 4
Step3:
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
= 2 / 376
= 2
So, Greatest Common Divisor of 500, 804, 706, 376 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 804, 706, 376
The greatest common divisor of numbers 500, 804, 706, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 804, 706, 376 is 2.
1. What is the GCD of 500, 804, 706, 376?
GCD of given numbers 500, 804, 706, 376 is 2
2. How to calculate the greatest common divisor of 500, 804, 706, 376?
We can find the highest common divisor of 500, 804, 706, 376 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 500, 804, 706, 376 i.e 2.
3. How can I use the GCD of 500, 804, 706, 376Calculator?
Out the numbers 500, 804, 706, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.