Online GCD Calculator is useful to find the GCD of 180, 957, 336, 717 quickly. Get the easiest ways to solve the greatest common divisor of 180, 957, 336, 717 i.e 3 in different methods as follows.
Given Input numbers are 180, 957, 336, 717
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 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (180, 957, 336, 717) = 3.
Given numbers are 180, 957, 336, 717
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 957 are 3 x 11 x 29
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 717 are 3 x 239
The highest common occurrence is 31
Therefore, GCD of 180, 957, 336, 717 is 3.
Given numbers are 180, 957, 336, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 957) = 57420
GCD(180, 957) = ( 180 x 957 ) / 57420
= 180 / 957
= 180
Step2:
LCM(3, 336) = 336
GCD(3, 336) = ( 3 x 336 ) / 336
= 3 / 336
= 3
Step3:
LCM(3, 717) = 717
GCD(3, 717) = ( 3 x 717 ) / 717
= 3 / 717
= 3
So, Greatest Common Divisor of 180, 957, 336, 717 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 957, 336, 717
The greatest common divisor of numbers 180, 957, 336, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 957, 336, 717 is 3.
1. What is the GCD of 180, 957, 336, 717?
GCD of given numbers 180, 957, 336, 717 is 3
2. How to calculate the greatest common divisor of 180, 957, 336, 717?
We can find the highest common divisor of 180, 957, 336, 717 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, 957, 336, 717 i.e 3.
3. How can I use the GCD of 180, 957, 336, 717Calculator?
Out the numbers 180, 957, 336, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.