Online GCD Calculator is useful to find the GCD of 314, 869, 729, 852 quickly. Get the easiest ways to solve the greatest common divisor of 314, 869, 729, 852 i.e 1 in different methods as follows.
Given Input numbers are 314, 869, 729, 852
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD of numbers is the greatest common divisor
So, the GCD (314, 869, 729, 852) = 1.
Given numbers are 314, 869, 729, 852
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 869 are 11 x 79
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 852 are 2 x 2 x 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 869, 729, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 869) = 272866
GCD(314, 869) = ( 314 x 869 ) / 272866
= 314 / 869
= 314
Step2:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
Step3:
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
= 1 / 852
= 1
So, Greatest Common Divisor of 314, 869, 729, 852 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 869, 729, 852
The greatest common divisor of numbers 314, 869, 729, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 869, 729, 852 is 1.
1. What is the GCD of 314, 869, 729, 852?
GCD of given numbers 314, 869, 729, 852 is 1
2. How to calculate the greatest common divisor of 314, 869, 729, 852?
We can find the highest common divisor of 314, 869, 729, 852 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 314, 869, 729, 852 i.e 1.
3. How can I use the GCD of 314, 869, 729, 852Calculator?
Out the numbers 314, 869, 729, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.