Online GCD Calculator is useful to find the GCD of 274, 728, 323, 142 quickly. Get the easiest ways to solve the greatest common divisor of 274, 728, 323, 142 i.e 1 in different methods as follows.
Given Input numbers are 274, 728, 323, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (274, 728, 323, 142) = 1.
Given numbers are 274, 728, 323, 142
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 323 are 17 x 19
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 728, 323, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 728) = 99736
GCD(274, 728) = ( 274 x 728 ) / 99736
= 274 / 728
= 274
Step2:
LCM(2, 323) = 646
GCD(2, 323) = ( 2 x 323 ) / 646
= 2 / 323
= 2
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 274, 728, 323, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 728, 323, 142
The greatest common divisor of numbers 274, 728, 323, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 728, 323, 142 is 1.
1. What is the GCD of 274, 728, 323, 142?
GCD of given numbers 274, 728, 323, 142 is 1
2. How to calculate the greatest common divisor of 274, 728, 323, 142?
We can find the highest common divisor of 274, 728, 323, 142 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 274, 728, 323, 142 i.e 1.
3. How can I use the GCD of 274, 728, 323, 142Calculator?
Out the numbers 274, 728, 323, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.