Online GCD Calculator is useful to find the GCD of 180, 468, 117, 715 quickly. Get the easiest ways to solve the greatest common divisor of 180, 468, 117, 715 i.e 1 in different methods as follows.
Given Input numbers are 180, 468, 117, 715
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
GCD of numbers is the greatest common divisor
So, the GCD (180, 468, 117, 715) = 1.
Given numbers are 180, 468, 117, 715
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 117 are 3 x 3 x 13
Prime factors of 715 are 5 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 468, 117, 715
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 468) = 2340
GCD(180, 468) = ( 180 x 468 ) / 2340
= 180 / 468
= 180
Step2:
LCM(36, 117) = 468
GCD(36, 117) = ( 36 x 117 ) / 468
= 36 / 117
= 36
Step3:
LCM(9, 715) = 6435
GCD(9, 715) = ( 9 x 715 ) / 6435
= 9 / 715
= 9
So, Greatest Common Divisor of 180, 468, 117, 715 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 468, 117, 715
The greatest common divisor of numbers 180, 468, 117, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 468, 117, 715 is 1.
1. What is the GCD of 180, 468, 117, 715?
GCD of given numbers 180, 468, 117, 715 is 1
2. How to calculate the greatest common divisor of 180, 468, 117, 715?
We can find the highest common divisor of 180, 468, 117, 715 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 180, 468, 117, 715 i.e 1.
3. How can I use the GCD of 180, 468, 117, 715Calculator?
Out the numbers 180, 468, 117, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.