Online GCD Calculator is useful to find the GCD of 567, 990, 321, 292 quickly. Get the easiest ways to solve the greatest common divisor of 567, 990, 321, 292 i.e 1 in different methods as follows.
Given Input numbers are 567, 990, 321, 292
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
GCD of numbers is the greatest common divisor
So, the GCD (567, 990, 321, 292) = 1.
Given numbers are 567, 990, 321, 292
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 321 are 3 x 107
Prime factors of 292 are 2 x 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 990, 321, 292
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 990) = 62370
GCD(567, 990) = ( 567 x 990 ) / 62370
= 567 / 990
= 567
Step2:
LCM(9, 321) = 963
GCD(9, 321) = ( 9 x 321 ) / 963
= 9 / 321
= 9
Step3:
LCM(3, 292) = 876
GCD(3, 292) = ( 3 x 292 ) / 876
= 3 / 292
= 3
So, Greatest Common Divisor of 567, 990, 321, 292 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 990, 321, 292
The greatest common divisor of numbers 567, 990, 321, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 990, 321, 292 is 1.
1. What is the GCD of 567, 990, 321, 292?
GCD of given numbers 567, 990, 321, 292 is 1
2. How to calculate the greatest common divisor of 567, 990, 321, 292?
We can find the highest common divisor of 567, 990, 321, 292 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 567, 990, 321, 292 i.e 1.
3. How can I use the GCD of 567, 990, 321, 292Calculator?
Out the numbers 567, 990, 321, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.