Online GCD Calculator is useful to find the GCD of 360, 762, 506, 239 quickly. Get the easiest ways to solve the greatest common divisor of 360, 762, 506, 239 i.e 1 in different methods as follows.
Given Input numbers are 360, 762, 506, 239
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 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 239 :
The positive integer divisors of 239 that completely divides 239 are.
1, 239
GCD of numbers is the greatest common divisor
So, the GCD (360, 762, 506, 239) = 1.
Given numbers are 360, 762, 506, 239
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 762 are 2 x 3 x 127
Prime factors of 506 are 2 x 11 x 23
Prime factors of 239 are 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 762, 506, 239
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 762) = 45720
GCD(360, 762) = ( 360 x 762 ) / 45720
= 360 / 762
= 360
Step2:
LCM(6, 506) = 1518
GCD(6, 506) = ( 6 x 506 ) / 1518
= 6 / 506
= 6
Step3:
LCM(2, 239) = 478
GCD(2, 239) = ( 2 x 239 ) / 478
= 2 / 239
= 2
So, Greatest Common Divisor of 360, 762, 506, 239 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 762, 506, 239
The greatest common divisor of numbers 360, 762, 506, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 762, 506, 239 is 1.
1. What is the GCD of 360, 762, 506, 239?
GCD of given numbers 360, 762, 506, 239 is 1
2. How to calculate the greatest common divisor of 360, 762, 506, 239?
We can find the highest common divisor of 360, 762, 506, 239 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, 762, 506, 239 i.e 1.
3. How can I use the GCD of 360, 762, 506, 239Calculator?
Out the numbers 360, 762, 506, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.