Online GCD Calculator is useful to find the GCD of 789, 196, 197, 462 quickly. Get the easiest ways to solve the greatest common divisor of 789, 196, 197, 462 i.e 1 in different methods as follows.
Given Input numbers are 789, 196, 197, 462
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 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
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
GCD of numbers is the greatest common divisor
So, the GCD (789, 196, 197, 462) = 1.
Given numbers are 789, 196, 197, 462
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 197 are 197
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 196, 197, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 196) = 154644
GCD(789, 196) = ( 789 x 196 ) / 154644
= 789 / 196
= 789
Step2:
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
= 1 / 197
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 789, 196, 197, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 196, 197, 462
The greatest common divisor of numbers 789, 196, 197, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 196, 197, 462 is 1.
1. What is the GCD of 789, 196, 197, 462?
GCD of given numbers 789, 196, 197, 462 is 1
2. How to calculate the greatest common divisor of 789, 196, 197, 462?
We can find the highest common divisor of 789, 196, 197, 462 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, 196, 197, 462 i.e 1.
3. How can I use the GCD of 789, 196, 197, 462Calculator?
Out the numbers 789, 196, 197, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.