Online GCD Calculator is useful to find the GCD of 644, 788, 656, 900 quickly. Get the easiest ways to solve the greatest common divisor of 644, 788, 656, 900 i.e 4 in different methods as follows.
Given Input numbers are 644, 788, 656, 900
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 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (644, 788, 656, 900) = 4.
Given numbers are 644, 788, 656, 900
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 788 are 2 x 2 x 197
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 644, 788, 656, 900 is 4.
Given numbers are 644, 788, 656, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 788) = 126868
GCD(644, 788) = ( 644 x 788 ) / 126868
= 644 / 788
= 644
Step2:
LCM(4, 656) = 656
GCD(4, 656) = ( 4 x 656 ) / 656
= 4 / 656
= 4
Step3:
LCM(4, 900) = 900
GCD(4, 900) = ( 4 x 900 ) / 900
= 4 / 900
= 4
So, Greatest Common Divisor of 644, 788, 656, 900 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 644, 788, 656, 900
The greatest common divisor of numbers 644, 788, 656, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 788, 656, 900 is 4.
1. What is the GCD of 644, 788, 656, 900?
GCD of given numbers 644, 788, 656, 900 is 4
2. How to calculate the greatest common divisor of 644, 788, 656, 900?
We can find the highest common divisor of 644, 788, 656, 900 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, 788, 656, 900 i.e 4.
3. How can I use the GCD of 644, 788, 656, 900Calculator?
Out the numbers 644, 788, 656, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.