Online GCD Calculator is useful to find the GCD of 357, 549, 495, 180 quickly. Get the easiest ways to solve the greatest common divisor of 357, 549, 495, 180 i.e 3 in different methods as follows.
Given Input numbers are 357, 549, 495, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
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
GCD of numbers is the greatest common divisor
So, the GCD (357, 549, 495, 180) = 3.
Given numbers are 357, 549, 495, 180
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 549 are 3 x 3 x 61
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 357, 549, 495, 180 is 3.
Given numbers are 357, 549, 495, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 549) = 65331
GCD(357, 549) = ( 357 x 549 ) / 65331
= 357 / 549
= 357
Step2:
LCM(3, 495) = 495
GCD(3, 495) = ( 3 x 495 ) / 495
= 3 / 495
= 3
Step3:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
So, Greatest Common Divisor of 357, 549, 495, 180 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 549, 495, 180
The greatest common divisor of numbers 357, 549, 495, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 549, 495, 180 is 3.
1. What is the GCD of 357, 549, 495, 180?
GCD of given numbers 357, 549, 495, 180 is 3
2. How to calculate the greatest common divisor of 357, 549, 495, 180?
We can find the highest common divisor of 357, 549, 495, 180 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 357, 549, 495, 180 i.e 3.
3. How can I use the GCD of 357, 549, 495, 180Calculator?
Out the numbers 357, 549, 495, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.