Online GCD Calculator is useful to find the GCD of 729, 962, 693, 314 quickly. Get the easiest ways to solve the greatest common divisor of 729, 962, 693, 314 i.e 1 in different methods as follows.
Given Input numbers are 729, 962, 693, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (729, 962, 693, 314) = 1.
Given numbers are 729, 962, 693, 314
The list of prime factors of all numbers are
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 962 are 2 x 13 x 37
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 962, 693, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 962) = 701298
GCD(729, 962) = ( 729 x 962 ) / 701298
= 729 / 962
= 729
Step2:
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
= 1 / 693
= 1
Step3:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 729, 962, 693, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 962, 693, 314
The greatest common divisor of numbers 729, 962, 693, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 962, 693, 314 is 1.
1. What is the GCD of 729, 962, 693, 314?
GCD of given numbers 729, 962, 693, 314 is 1
2. How to calculate the greatest common divisor of 729, 962, 693, 314?
We can find the highest common divisor of 729, 962, 693, 314 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 729, 962, 693, 314 i.e 1.
3. How can I use the GCD of 729, 962, 693, 314Calculator?
Out the numbers 729, 962, 693, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.