Online GCD Calculator is useful to find the GCD of 800, 799, 679, 343 quickly. Get the easiest ways to solve the greatest common divisor of 800, 799, 679, 343 i.e 1 in different methods as follows.
Given Input numbers are 800, 799, 679, 343
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 799 :
The positive integer divisors of 799 that completely divides 799 are.
1, 17, 47, 799
Divisors of 679 :
The positive integer divisors of 679 that completely divides 679 are.
1, 7, 97, 679
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (800, 799, 679, 343) = 1.
Given numbers are 800, 799, 679, 343
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 799 are 17 x 47
Prime factors of 679 are 7 x 97
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 799, 679, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 799) = 639200
GCD(800, 799) = ( 800 x 799 ) / 639200
= 800 / 799
= 800
Step2:
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
= 1 / 679
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 800, 799, 679, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 799, 679, 343
The greatest common divisor of numbers 800, 799, 679, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 799, 679, 343 is 1.
1. What is the GCD of 800, 799, 679, 343?
GCD of given numbers 800, 799, 679, 343 is 1
2. How to calculate the greatest common divisor of 800, 799, 679, 343?
We can find the highest common divisor of 800, 799, 679, 343 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, 799, 679, 343 i.e 1.
3. How can I use the GCD of 800, 799, 679, 343Calculator?
Out the numbers 800, 799, 679, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.