Online GCD Calculator is useful to find the GCD of 789, 314, 252, 580 quickly. Get the easiest ways to solve the greatest common divisor of 789, 314, 252, 580 i.e 1 in different methods as follows.
Given Input numbers are 789, 314, 252, 580
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (789, 314, 252, 580) = 1.
Given numbers are 789, 314, 252, 580
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 314 are 2 x 157
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 580 are 2 x 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 314, 252, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 314) = 247746
GCD(789, 314) = ( 789 x 314 ) / 247746
= 789 / 314
= 789
Step2:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
Step3:
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
= 1 / 580
= 1
So, Greatest Common Divisor of 789, 314, 252, 580 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 314, 252, 580
The greatest common divisor of numbers 789, 314, 252, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 314, 252, 580 is 1.
1. What is the GCD of 789, 314, 252, 580?
GCD of given numbers 789, 314, 252, 580 is 1
2. How to calculate the greatest common divisor of 789, 314, 252, 580?
We can find the highest common divisor of 789, 314, 252, 580 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, 314, 252, 580 i.e 1.
3. How can I use the GCD of 789, 314, 252, 580Calculator?
Out the numbers 789, 314, 252, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.