Online GCD Calculator is useful to find the GCD of 301, 420, 531, 289 quickly. Get the easiest ways to solve the greatest common divisor of 301, 420, 531, 289 i.e 1 in different methods as follows.
Given Input numbers are 301, 420, 531, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (301, 420, 531, 289) = 1.
Given numbers are 301, 420, 531, 289
The list of prime factors of all numbers are
Prime factors of 301 are 7 x 43
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 531 are 3 x 3 x 59
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 301, 420, 531, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(301, 420) = 18060
GCD(301, 420) = ( 301 x 420 ) / 18060
= 301 / 420
= 301
Step2:
LCM(7, 531) = 3717
GCD(7, 531) = ( 7 x 531 ) / 3717
= 7 / 531
= 7
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 301, 420, 531, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 301, 420, 531, 289
The greatest common divisor of numbers 301, 420, 531, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 301, 420, 531, 289 is 1.
1. What is the GCD of 301, 420, 531, 289?
GCD of given numbers 301, 420, 531, 289 is 1
2. How to calculate the greatest common divisor of 301, 420, 531, 289?
We can find the highest common divisor of 301, 420, 531, 289 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 301, 420, 531, 289 i.e 1.
3. How can I use the GCD of 301, 420, 531, 289Calculator?
Out the numbers 301, 420, 531, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.