Online GCD Calculator is useful to find the GCD of 360, 262, 538, 331 quickly. Get the easiest ways to solve the greatest common divisor of 360, 262, 538, 331 i.e 1 in different methods as follows.
Given Input numbers are 360, 262, 538, 331
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
GCD of numbers is the greatest common divisor
So, the GCD (360, 262, 538, 331) = 1.
Given numbers are 360, 262, 538, 331
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 262 are 2 x 131
Prime factors of 538 are 2 x 269
Prime factors of 331 are 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 262, 538, 331
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 262) = 47160
GCD(360, 262) = ( 360 x 262 ) / 47160
= 360 / 262
= 360
Step2:
LCM(2, 538) = 538
GCD(2, 538) = ( 2 x 538 ) / 538
= 2 / 538
= 2
Step3:
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
= 2 / 331
= 2
So, Greatest Common Divisor of 360, 262, 538, 331 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 262, 538, 331
The greatest common divisor of numbers 360, 262, 538, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 262, 538, 331 is 1.
1. What is the GCD of 360, 262, 538, 331?
GCD of given numbers 360, 262, 538, 331 is 1
2. How to calculate the greatest common divisor of 360, 262, 538, 331?
We can find the highest common divisor of 360, 262, 538, 331 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 360, 262, 538, 331 i.e 1.
3. How can I use the GCD of 360, 262, 538, 331Calculator?
Out the numbers 360, 262, 538, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.