Online GCD Calculator is useful to find the GCD of 360, 312, 267, 527 quickly. Get the easiest ways to solve the greatest common divisor of 360, 312, 267, 527 i.e 1 in different methods as follows.
Given Input numbers are 360, 312, 267, 527
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 527 :
The positive integer divisors of 527 that completely divides 527 are.
1, 17, 31, 527
GCD of numbers is the greatest common divisor
So, the GCD (360, 312, 267, 527) = 1.
Given numbers are 360, 312, 267, 527
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 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 267 are 3 x 89
Prime factors of 527 are 17 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 312, 267, 527
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 312) = 4680
GCD(360, 312) = ( 360 x 312 ) / 4680
= 360 / 312
= 360
Step2:
LCM(24, 267) = 2136
GCD(24, 267) = ( 24 x 267 ) / 2136
= 24 / 267
= 24
Step3:
LCM(3, 527) = 1581
GCD(3, 527) = ( 3 x 527 ) / 1581
= 3 / 527
= 3
So, Greatest Common Divisor of 360, 312, 267, 527 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 312, 267, 527
The greatest common divisor of numbers 360, 312, 267, 527 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 312, 267, 527 is 1.
1. What is the GCD of 360, 312, 267, 527?
GCD of given numbers 360, 312, 267, 527 is 1
2. How to calculate the greatest common divisor of 360, 312, 267, 527?
We can find the highest common divisor of 360, 312, 267, 527 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, 312, 267, 527 i.e 1.
3. How can I use the GCD of 360, 312, 267, 527Calculator?
Out the numbers 360, 312, 267, 527 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.