Online GCD Calculator is useful to find the GCD of 724, 800, 966, 699 quickly. Get the easiest ways to solve the greatest common divisor of 724, 800, 966, 699 i.e 1 in different methods as follows.
Given Input numbers are 724, 800, 966, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
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 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (724, 800, 966, 699) = 1.
Given numbers are 724, 800, 966, 699
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 800, 966, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 800) = 144800
GCD(724, 800) = ( 724 x 800 ) / 144800
= 724 / 800
= 724
Step2:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
Step3:
LCM(2, 699) = 1398
GCD(2, 699) = ( 2 x 699 ) / 1398
= 2 / 699
= 2
So, Greatest Common Divisor of 724, 800, 966, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 800, 966, 699
The greatest common divisor of numbers 724, 800, 966, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 800, 966, 699 is 1.
1. What is the GCD of 724, 800, 966, 699?
GCD of given numbers 724, 800, 966, 699 is 1
2. How to calculate the greatest common divisor of 724, 800, 966, 699?
We can find the highest common divisor of 724, 800, 966, 699 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 724, 800, 966, 699 i.e 1.
3. How can I use the GCD of 724, 800, 966, 699Calculator?
Out the numbers 724, 800, 966, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.