Online GCD Calculator is useful to find the GCD of 644, 428, 321, 100 quickly. Get the easiest ways to solve the greatest common divisor of 644, 428, 321, 100 i.e 1 in different methods as follows.
Given Input numbers are 644, 428, 321, 100
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (644, 428, 321, 100) = 1.
Given numbers are 644, 428, 321, 100
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 428 are 2 x 2 x 107
Prime factors of 321 are 3 x 107
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 644, 428, 321, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 428) = 68908
GCD(644, 428) = ( 644 x 428 ) / 68908
= 644 / 428
= 644
Step2:
LCM(4, 321) = 1284
GCD(4, 321) = ( 4 x 321 ) / 1284
= 4 / 321
= 4
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 644, 428, 321, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 644, 428, 321, 100
The greatest common divisor of numbers 644, 428, 321, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 428, 321, 100 is 1.
1. What is the GCD of 644, 428, 321, 100?
GCD of given numbers 644, 428, 321, 100 is 1
2. How to calculate the greatest common divisor of 644, 428, 321, 100?
We can find the highest common divisor of 644, 428, 321, 100 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, 428, 321, 100 i.e 1.
3. How can I use the GCD of 644, 428, 321, 100Calculator?
Out the numbers 644, 428, 321, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.