Online GCD Calculator is useful to find the GCD of 789, 800, 462, 698 quickly. Get the easiest ways to solve the greatest common divisor of 789, 800, 462, 698 i.e 1 in different methods as follows.
Given Input numbers are 789, 800, 462, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
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 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
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (789, 800, 462, 698) = 1.
Given numbers are 789, 800, 462, 698
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 800, 462, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 800) = 631200
GCD(789, 800) = ( 789 x 800 ) / 631200
= 789 / 800
= 789
Step2:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 789, 800, 462, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 800, 462, 698
The greatest common divisor of numbers 789, 800, 462, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 800, 462, 698 is 1.
1. What is the GCD of 789, 800, 462, 698?
GCD of given numbers 789, 800, 462, 698 is 1
2. How to calculate the greatest common divisor of 789, 800, 462, 698?
We can find the highest common divisor of 789, 800, 462, 698 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 789, 800, 462, 698 i.e 1.
3. How can I use the GCD of 789, 800, 462, 698Calculator?
Out the numbers 789, 800, 462, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.