Online GCD Calculator is useful to find the GCD of 592, 141, 120, 309 quickly. Get the easiest ways to solve the greatest common divisor of 592, 141, 120, 309 i.e 1 in different methods as follows.
Given Input numbers are 592, 141, 120, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (592, 141, 120, 309) = 1.
Given numbers are 592, 141, 120, 309
The list of prime factors of all numbers are
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 141 are 3 x 47
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 592, 141, 120, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(592, 141) = 83472
GCD(592, 141) = ( 592 x 141 ) / 83472
= 592 / 141
= 592
Step2:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 592, 141, 120, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 592, 141, 120, 309
The greatest common divisor of numbers 592, 141, 120, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 592, 141, 120, 309 is 1.
1. What is the GCD of 592, 141, 120, 309?
GCD of given numbers 592, 141, 120, 309 is 1
2. How to calculate the greatest common divisor of 592, 141, 120, 309?
We can find the highest common divisor of 592, 141, 120, 309 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 592, 141, 120, 309 i.e 1.
3. How can I use the GCD of 592, 141, 120, 309Calculator?
Out the numbers 592, 141, 120, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.