Online GCD Calculator is useful to find the GCD of 561, 280, 487, 996 quickly. Get the easiest ways to solve the greatest common divisor of 561, 280, 487, 996 i.e 1 in different methods as follows.
Given Input numbers are 561, 280, 487, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 487 :
The positive integer divisors of 487 that completely divides 487 are.
1, 487
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (561, 280, 487, 996) = 1.
Given numbers are 561, 280, 487, 996
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 487 are 487
Prime factors of 996 are 2 x 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 280, 487, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 280) = 157080
GCD(561, 280) = ( 561 x 280 ) / 157080
= 561 / 280
= 561
Step2:
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
= 1 / 487
= 1
Step3:
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
= 1 / 996
= 1
So, Greatest Common Divisor of 561, 280, 487, 996 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 280, 487, 996
The greatest common divisor of numbers 561, 280, 487, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 280, 487, 996 is 1.
1. What is the GCD of 561, 280, 487, 996?
GCD of given numbers 561, 280, 487, 996 is 1
2. How to calculate the greatest common divisor of 561, 280, 487, 996?
We can find the highest common divisor of 561, 280, 487, 996 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 561, 280, 487, 996 i.e 1.
3. How can I use the GCD of 561, 280, 487, 996Calculator?
Out the numbers 561, 280, 487, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.