Online GCD Calculator is useful to find the GCD of 644, 529, 136, 990 quickly. Get the easiest ways to solve the greatest common divisor of 644, 529, 136, 990 i.e 1 in different methods as follows.
Given Input numbers are 644, 529, 136, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 529 :
The positive integer divisors of 529 that completely divides 529 are.
1, 23, 529
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (644, 529, 136, 990) = 1.
Given numbers are 644, 529, 136, 990
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 529 are 23 x 23
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 644, 529, 136, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 529) = 14812
GCD(644, 529) = ( 644 x 529 ) / 14812
= 644 / 529
= 644
Step2:
LCM(23, 136) = 3128
GCD(23, 136) = ( 23 x 136 ) / 3128
= 23 / 136
= 23
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 644, 529, 136, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 644, 529, 136, 990
The greatest common divisor of numbers 644, 529, 136, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 529, 136, 990 is 1.
1. What is the GCD of 644, 529, 136, 990?
GCD of given numbers 644, 529, 136, 990 is 1
2. How to calculate the greatest common divisor of 644, 529, 136, 990?
We can find the highest common divisor of 644, 529, 136, 990 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 644, 529, 136, 990 i.e 1.
3. How can I use the GCD of 644, 529, 136, 990Calculator?
Out the numbers 644, 529, 136, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.