Online GCD Calculator is useful to find the GCD of 561, 976, 221, 364 quickly. Get the easiest ways to solve the greatest common divisor of 561, 976, 221, 364 i.e 1 in different methods as follows.
Given Input numbers are 561, 976, 221, 364
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (561, 976, 221, 364) = 1.
Given numbers are 561, 976, 221, 364
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 221 are 13 x 17
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 976, 221, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 976) = 547536
GCD(561, 976) = ( 561 x 976 ) / 547536
= 561 / 976
= 561
Step2:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
Step3:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 561, 976, 221, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 976, 221, 364
The greatest common divisor of numbers 561, 976, 221, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 976, 221, 364 is 1.
1. What is the GCD of 561, 976, 221, 364?
GCD of given numbers 561, 976, 221, 364 is 1
2. How to calculate the greatest common divisor of 561, 976, 221, 364?
We can find the highest common divisor of 561, 976, 221, 364 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, 976, 221, 364 i.e 1.
3. How can I use the GCD of 561, 976, 221, 364Calculator?
Out the numbers 561, 976, 221, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.