Online GCD Calculator is useful to find the GCD of 800, 582, 740, 462 quickly. Get the easiest ways to solve the greatest common divisor of 800, 582, 740, 462 i.e 2 in different methods as follows.
Given Input numbers are 800, 582, 740, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (800, 582, 740, 462) = 2.
Given numbers are 800, 582, 740, 462
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 582 are 2 x 3 x 97
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 800, 582, 740, 462 is 2.
Given numbers are 800, 582, 740, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 582) = 232800
GCD(800, 582) = ( 800 x 582 ) / 232800
= 800 / 582
= 800
Step2:
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
= 2 / 740
= 2
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 800, 582, 740, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 582, 740, 462
The greatest common divisor of numbers 800, 582, 740, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 582, 740, 462 is 2.
1. What is the GCD of 800, 582, 740, 462?
GCD of given numbers 800, 582, 740, 462 is 2
2. How to calculate the greatest common divisor of 800, 582, 740, 462?
We can find the highest common divisor of 800, 582, 740, 462 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 800, 582, 740, 462 i.e 2.
3. How can I use the GCD of 800, 582, 740, 462Calculator?
Out the numbers 800, 582, 740, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.