Online GCD Calculator is useful to find the GCD of 332, 744, 408, 500 quickly. Get the easiest ways to solve the greatest common divisor of 332, 744, 408, 500 i.e 4 in different methods as follows.
Given Input numbers are 332, 744, 408, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
GCD of numbers is the greatest common divisor
So, the GCD (332, 744, 408, 500) = 4.
Given numbers are 332, 744, 408, 500
The list of prime factors of all numbers are
Prime factors of 332 are 2 x 2 x 83
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 332, 744, 408, 500 is 4.
Given numbers are 332, 744, 408, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(332, 744) = 61752
GCD(332, 744) = ( 332 x 744 ) / 61752
= 332 / 744
= 332
Step2:
LCM(4, 408) = 408
GCD(4, 408) = ( 4 x 408 ) / 408
= 4 / 408
= 4
Step3:
LCM(4, 500) = 500
GCD(4, 500) = ( 4 x 500 ) / 500
= 4 / 500
= 4
So, Greatest Common Divisor of 332, 744, 408, 500 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 332, 744, 408, 500
The greatest common divisor of numbers 332, 744, 408, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 332, 744, 408, 500 is 4.
1. What is the GCD of 332, 744, 408, 500?
GCD of given numbers 332, 744, 408, 500 is 4
2. How to calculate the greatest common divisor of 332, 744, 408, 500?
We can find the highest common divisor of 332, 744, 408, 500 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 332, 744, 408, 500 i.e 4.
3. How can I use the GCD of 332, 744, 408, 500Calculator?
Out the numbers 332, 744, 408, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.