Online GCD Calculator is useful to find the GCD of 382, 144, 791, 800 quickly. Get the easiest ways to solve the greatest common divisor of 382, 144, 791, 800 i.e 1 in different methods as follows.
Given Input numbers are 382, 144, 791, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
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
GCD of numbers is the greatest common divisor
So, the GCD (382, 144, 791, 800) = 1.
Given numbers are 382, 144, 791, 800
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 791 are 7 x 113
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 382, 144, 791, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 144) = 27504
GCD(382, 144) = ( 382 x 144 ) / 27504
= 382 / 144
= 382
Step2:
LCM(2, 791) = 1582
GCD(2, 791) = ( 2 x 791 ) / 1582
= 2 / 791
= 2
Step3:
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
= 1 / 800
= 1
So, Greatest Common Divisor of 382, 144, 791, 800 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 144, 791, 800
The greatest common divisor of numbers 382, 144, 791, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 144, 791, 800 is 1.
1. What is the GCD of 382, 144, 791, 800?
GCD of given numbers 382, 144, 791, 800 is 1
2. How to calculate the greatest common divisor of 382, 144, 791, 800?
We can find the highest common divisor of 382, 144, 791, 800 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 382, 144, 791, 800 i.e 1.
3. How can I use the GCD of 382, 144, 791, 800Calculator?
Out the numbers 382, 144, 791, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.