Online GCD Calculator is useful to find the GCD of 789, 432, 675, 946 quickly. Get the easiest ways to solve the greatest common divisor of 789, 432, 675, 946 i.e 1 in different methods as follows.
Given Input numbers are 789, 432, 675, 946
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (789, 432, 675, 946) = 1.
Given numbers are 789, 432, 675, 946
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 946 are 2 x 11 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 432, 675, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 432) = 113616
GCD(789, 432) = ( 789 x 432 ) / 113616
= 789 / 432
= 789
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
Step3:
LCM(3, 946) = 2838
GCD(3, 946) = ( 3 x 946 ) / 2838
= 3 / 946
= 3
So, Greatest Common Divisor of 789, 432, 675, 946 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 432, 675, 946
The greatest common divisor of numbers 789, 432, 675, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 432, 675, 946 is 1.
1. What is the GCD of 789, 432, 675, 946?
GCD of given numbers 789, 432, 675, 946 is 1
2. How to calculate the greatest common divisor of 789, 432, 675, 946?
We can find the highest common divisor of 789, 432, 675, 946 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, 432, 675, 946 i.e 1.
3. How can I use the GCD of 789, 432, 675, 946Calculator?
Out the numbers 789, 432, 675, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.