Online GCD Calculator is useful to find the GCD of 789, 397, 351, 560 quickly. Get the easiest ways to solve the greatest common divisor of 789, 397, 351, 560 i.e 1 in different methods as follows.
Given Input numbers are 789, 397, 351, 560
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 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
GCD of numbers is the greatest common divisor
So, the GCD (789, 397, 351, 560) = 1.
Given numbers are 789, 397, 351, 560
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 397 are 397
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 397, 351, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 397) = 313233
GCD(789, 397) = ( 789 x 397 ) / 313233
= 789 / 397
= 789
Step2:
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
= 1 / 351
= 1
Step3:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
So, Greatest Common Divisor of 789, 397, 351, 560 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 397, 351, 560
The greatest common divisor of numbers 789, 397, 351, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 397, 351, 560 is 1.
1. What is the GCD of 789, 397, 351, 560?
GCD of given numbers 789, 397, 351, 560 is 1
2. How to calculate the greatest common divisor of 789, 397, 351, 560?
We can find the highest common divisor of 789, 397, 351, 560 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, 397, 351, 560 i.e 1.
3. How can I use the GCD of 789, 397, 351, 560Calculator?
Out the numbers 789, 397, 351, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.