Online GCD Calculator is useful to find the GCD of 561, 133, 821, 991 quickly. Get the easiest ways to solve the greatest common divisor of 561, 133, 821, 991 i.e 1 in different methods as follows.
Given Input numbers are 561, 133, 821, 991
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 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
GCD of numbers is the greatest common divisor
So, the GCD (561, 133, 821, 991) = 1.
Given numbers are 561, 133, 821, 991
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 133 are 7 x 19
Prime factors of 821 are 821
Prime factors of 991 are 991
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 133, 821, 991
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 133) = 74613
GCD(561, 133) = ( 561 x 133 ) / 74613
= 561 / 133
= 561
Step2:
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
= 1 / 821
= 1
Step3:
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
= 1 / 991
= 1
So, Greatest Common Divisor of 561, 133, 821, 991 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 133, 821, 991
The greatest common divisor of numbers 561, 133, 821, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 133, 821, 991 is 1.
1. What is the GCD of 561, 133, 821, 991?
GCD of given numbers 561, 133, 821, 991 is 1
2. How to calculate the greatest common divisor of 561, 133, 821, 991?
We can find the highest common divisor of 561, 133, 821, 991 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, 133, 821, 991 i.e 1.
3. How can I use the GCD of 561, 133, 821, 991Calculator?
Out the numbers 561, 133, 821, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.