Online GCD Calculator is useful to find the GCD of 561, 378, 269, 676 quickly. Get the easiest ways to solve the greatest common divisor of 561, 378, 269, 676 i.e 1 in different methods as follows.
Given Input numbers are 561, 378, 269, 676
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (561, 378, 269, 676) = 1.
Given numbers are 561, 378, 269, 676
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 269 are 269
Prime factors of 676 are 2 x 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 378, 269, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 378) = 70686
GCD(561, 378) = ( 561 x 378 ) / 70686
= 561 / 378
= 561
Step2:
LCM(3, 269) = 807
GCD(3, 269) = ( 3 x 269 ) / 807
= 3 / 269
= 3
Step3:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
So, Greatest Common Divisor of 561, 378, 269, 676 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 378, 269, 676
The greatest common divisor of numbers 561, 378, 269, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 378, 269, 676 is 1.
1. What is the GCD of 561, 378, 269, 676?
GCD of given numbers 561, 378, 269, 676 is 1
2. How to calculate the greatest common divisor of 561, 378, 269, 676?
We can find the highest common divisor of 561, 378, 269, 676 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, 378, 269, 676 i.e 1.
3. How can I use the GCD of 561, 378, 269, 676Calculator?
Out the numbers 561, 378, 269, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.