Online GCD Calculator is useful to find the GCD of 704, 789, 940, 714 quickly. Get the easiest ways to solve the greatest common divisor of 704, 789, 940, 714 i.e 1 in different methods as follows.
Given Input numbers are 704, 789, 940, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (704, 789, 940, 714) = 1.
Given numbers are 704, 789, 940, 714
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 789 are 3 x 263
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 789, 940, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 789) = 555456
GCD(704, 789) = ( 704 x 789 ) / 555456
= 704 / 789
= 704
Step2:
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
= 1 / 940
= 1
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 704, 789, 940, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 789, 940, 714
The greatest common divisor of numbers 704, 789, 940, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 789, 940, 714 is 1.
1. What is the GCD of 704, 789, 940, 714?
GCD of given numbers 704, 789, 940, 714 is 1
2. How to calculate the greatest common divisor of 704, 789, 940, 714?
We can find the highest common divisor of 704, 789, 940, 714 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 704, 789, 940, 714 i.e 1.
3. How can I use the GCD of 704, 789, 940, 714Calculator?
Out the numbers 704, 789, 940, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.