Online GCD Calculator is useful to find the GCD of 561, 649, 902, 422 quickly. Get the easiest ways to solve the greatest common divisor of 561, 649, 902, 422 i.e 1 in different methods as follows.
Given Input numbers are 561, 649, 902, 422
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 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (561, 649, 902, 422) = 1.
Given numbers are 561, 649, 902, 422
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 649 are 11 x 59
Prime factors of 902 are 2 x 11 x 41
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 649, 902, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 649) = 33099
GCD(561, 649) = ( 561 x 649 ) / 33099
= 561 / 649
= 561
Step2:
LCM(11, 902) = 902
GCD(11, 902) = ( 11 x 902 ) / 902
= 11 / 902
= 11
Step3:
LCM(11, 422) = 4642
GCD(11, 422) = ( 11 x 422 ) / 4642
= 11 / 422
= 11
So, Greatest Common Divisor of 561, 649, 902, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 649, 902, 422
The greatest common divisor of numbers 561, 649, 902, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 649, 902, 422 is 1.
1. What is the GCD of 561, 649, 902, 422?
GCD of given numbers 561, 649, 902, 422 is 1
2. How to calculate the greatest common divisor of 561, 649, 902, 422?
We can find the highest common divisor of 561, 649, 902, 422 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, 649, 902, 422 i.e 1.
3. How can I use the GCD of 561, 649, 902, 422Calculator?
Out the numbers 561, 649, 902, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.