Online GCD Calculator is useful to find the GCD of 362, 732, 400, 500 quickly. Get the easiest ways to solve the greatest common divisor of 362, 732, 400, 500 i.e 2 in different methods as follows.
Given Input numbers are 362, 732, 400, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 (362, 732, 400, 500) = 2.
Given numbers are 362, 732, 400, 500
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 362, 732, 400, 500 is 2.
Given numbers are 362, 732, 400, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 732) = 132492
GCD(362, 732) = ( 362 x 732 ) / 132492
= 362 / 732
= 362
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
Step3:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
So, Greatest Common Divisor of 362, 732, 400, 500 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 732, 400, 500
The greatest common divisor of numbers 362, 732, 400, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 732, 400, 500 is 2.
1. What is the GCD of 362, 732, 400, 500?
GCD of given numbers 362, 732, 400, 500 is 2
2. How to calculate the greatest common divisor of 362, 732, 400, 500?
We can find the highest common divisor of 362, 732, 400, 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 362, 732, 400, 500 i.e 2.
3. How can I use the GCD of 362, 732, 400, 500Calculator?
Out the numbers 362, 732, 400, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.