Online GCD Calculator is useful to find the GCD of 561, 537, 980, 512 quickly. Get the easiest ways to solve the greatest common divisor of 561, 537, 980, 512 i.e 1 in different methods as follows.
Given Input numbers are 561, 537, 980, 512
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 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (561, 537, 980, 512) = 1.
Given numbers are 561, 537, 980, 512
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 537 are 3 x 179
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 537, 980, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 537) = 100419
GCD(561, 537) = ( 561 x 537 ) / 100419
= 561 / 537
= 561
Step2:
LCM(3, 980) = 2940
GCD(3, 980) = ( 3 x 980 ) / 2940
= 3 / 980
= 3
Step3:
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
= 1 / 512
= 1
So, Greatest Common Divisor of 561, 537, 980, 512 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 537, 980, 512
The greatest common divisor of numbers 561, 537, 980, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 537, 980, 512 is 1.
1. What is the GCD of 561, 537, 980, 512?
GCD of given numbers 561, 537, 980, 512 is 1
2. How to calculate the greatest common divisor of 561, 537, 980, 512?
We can find the highest common divisor of 561, 537, 980, 512 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, 537, 980, 512 i.e 1.
3. How can I use the GCD of 561, 537, 980, 512Calculator?
Out the numbers 561, 537, 980, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.