Online GCD Calculator is useful to find the GCD of 800, 534, 523, 345 quickly. Get the easiest ways to solve the greatest common divisor of 800, 534, 523, 345 i.e 1 in different methods as follows.
Given Input numbers are 800, 534, 523, 345
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 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (800, 534, 523, 345) = 1.
Given numbers are 800, 534, 523, 345
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 534 are 2 x 3 x 89
Prime factors of 523 are 523
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 534, 523, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 534) = 213600
GCD(800, 534) = ( 800 x 534 ) / 213600
= 800 / 534
= 800
Step2:
LCM(2, 523) = 1046
GCD(2, 523) = ( 2 x 523 ) / 1046
= 2 / 523
= 2
Step3:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
So, Greatest Common Divisor of 800, 534, 523, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 534, 523, 345
The greatest common divisor of numbers 800, 534, 523, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 534, 523, 345 is 1.
1. What is the GCD of 800, 534, 523, 345?
GCD of given numbers 800, 534, 523, 345 is 1
2. How to calculate the greatest common divisor of 800, 534, 523, 345?
We can find the highest common divisor of 800, 534, 523, 345 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, 534, 523, 345 i.e 1.
3. How can I use the GCD of 800, 534, 523, 345Calculator?
Out the numbers 800, 534, 523, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.