Online GCD Calculator is useful to find the GCD of 180, 407, 924, 355 quickly. Get the easiest ways to solve the greatest common divisor of 180, 407, 924, 355 i.e 1 in different methods as follows.
Given Input numbers are 180, 407, 924, 355
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 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (180, 407, 924, 355) = 1.
Given numbers are 180, 407, 924, 355
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 407 are 11 x 37
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 407, 924, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 407) = 73260
GCD(180, 407) = ( 180 x 407 ) / 73260
= 180 / 407
= 180
Step2:
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
= 1 / 924
= 1
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 180, 407, 924, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 407, 924, 355
The greatest common divisor of numbers 180, 407, 924, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 407, 924, 355 is 1.
1. What is the GCD of 180, 407, 924, 355?
GCD of given numbers 180, 407, 924, 355 is 1
2. How to calculate the greatest common divisor of 180, 407, 924, 355?
We can find the highest common divisor of 180, 407, 924, 355 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, 407, 924, 355 i.e 1.
3. How can I use the GCD of 180, 407, 924, 355Calculator?
Out the numbers 180, 407, 924, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.