Online GCD Calculator is useful to find the GCD of 500, 862, 250, 732 quickly. Get the easiest ways to solve the greatest common divisor of 500, 862, 250, 732 i.e 2 in different methods as follows.
Given Input numbers are 500, 862, 250, 732
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 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
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
GCD of numbers is the greatest common divisor
So, the GCD (500, 862, 250, 732) = 2.
Given numbers are 500, 862, 250, 732
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 862 are 2 x 431
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 21
Therefore, GCD of 500, 862, 250, 732 is 2.
Given numbers are 500, 862, 250, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 862) = 215500
GCD(500, 862) = ( 500 x 862 ) / 215500
= 500 / 862
= 500
Step2:
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
= 2 / 250
= 2
Step3:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
So, Greatest Common Divisor of 500, 862, 250, 732 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 862, 250, 732
The greatest common divisor of numbers 500, 862, 250, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 862, 250, 732 is 2.
1. What is the GCD of 500, 862, 250, 732?
GCD of given numbers 500, 862, 250, 732 is 2
2. How to calculate the greatest common divisor of 500, 862, 250, 732?
We can find the highest common divisor of 500, 862, 250, 732 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, 862, 250, 732 i.e 2.
3. How can I use the GCD of 500, 862, 250, 732Calculator?
Out the numbers 500, 862, 250, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.