Online GCD Calculator is useful to find the GCD of 450, 500, 392, 862 quickly. Get the easiest ways to solve the greatest common divisor of 450, 500, 392, 862 i.e 2 in different methods as follows.
Given Input numbers are 450, 500, 392, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (450, 500, 392, 862) = 2.
Given numbers are 450, 500, 392, 862
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 862 are 2 x 431
The highest common occurrence is 21
Therefore, GCD of 450, 500, 392, 862 is 2.
Given numbers are 450, 500, 392, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 500) = 4500
GCD(450, 500) = ( 450 x 500 ) / 4500
= 450 / 500
= 450
Step2:
LCM(50, 392) = 9800
GCD(50, 392) = ( 50 x 392 ) / 9800
= 50 / 392
= 50
Step3:
LCM(2, 862) = 862
GCD(2, 862) = ( 2 x 862 ) / 862
= 2 / 862
= 2
So, Greatest Common Divisor of 450, 500, 392, 862 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 500, 392, 862
The greatest common divisor of numbers 450, 500, 392, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 500, 392, 862 is 2.
1. What is the GCD of 450, 500, 392, 862?
GCD of given numbers 450, 500, 392, 862 is 2
2. How to calculate the greatest common divisor of 450, 500, 392, 862?
We can find the highest common divisor of 450, 500, 392, 862 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 450, 500, 392, 862 i.e 2.
3. How can I use the GCD of 450, 500, 392, 862Calculator?
Out the numbers 450, 500, 392, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.