Online GCD Calculator is useful to find the GCD of 854, 612, 729, 145 quickly. Get the easiest ways to solve the greatest common divisor of 854, 612, 729, 145 i.e 1 in different methods as follows.
Given Input numbers are 854, 612, 729, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (854, 612, 729, 145) = 1.
Given numbers are 854, 612, 729, 145
The list of prime factors of all numbers are
Prime factors of 854 are 2 x 7 x 61
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 854, 612, 729, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(854, 612) = 261324
GCD(854, 612) = ( 854 x 612 ) / 261324
= 854 / 612
= 854
Step2:
LCM(2, 729) = 1458
GCD(2, 729) = ( 2 x 729 ) / 1458
= 2 / 729
= 2
Step3:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
So, Greatest Common Divisor of 854, 612, 729, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 854, 612, 729, 145
The greatest common divisor of numbers 854, 612, 729, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 612, 729, 145 is 1.
1. What is the GCD of 854, 612, 729, 145?
GCD of given numbers 854, 612, 729, 145 is 1
2. How to calculate the greatest common divisor of 854, 612, 729, 145?
We can find the highest common divisor of 854, 612, 729, 145 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 854, 612, 729, 145 i.e 1.
3. How can I use the GCD of 854, 612, 729, 145Calculator?
Out the numbers 854, 612, 729, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.