Online GCD Calculator is useful to find the GCD of 812, 144, 644, 988 quickly. Get the easiest ways to solve the greatest common divisor of 812, 144, 644, 988 i.e 4 in different methods as follows.
Given Input numbers are 812, 144, 644, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (812, 144, 644, 988) = 4.
Given numbers are 812, 144, 644, 988
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 22
Therefore, GCD of 812, 144, 644, 988 is 4.
Given numbers are 812, 144, 644, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 144) = 29232
GCD(812, 144) = ( 812 x 144 ) / 29232
= 812 / 144
= 812
Step2:
LCM(4, 644) = 644
GCD(4, 644) = ( 4 x 644 ) / 644
= 4 / 644
= 4
Step3:
LCM(4, 988) = 988
GCD(4, 988) = ( 4 x 988 ) / 988
= 4 / 988
= 4
So, Greatest Common Divisor of 812, 144, 644, 988 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 144, 644, 988
The greatest common divisor of numbers 812, 144, 644, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 144, 644, 988 is 4.
1. What is the GCD of 812, 144, 644, 988?
GCD of given numbers 812, 144, 644, 988 is 4
2. How to calculate the greatest common divisor of 812, 144, 644, 988?
We can find the highest common divisor of 812, 144, 644, 988 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 812, 144, 644, 988 i.e 4.
3. How can I use the GCD of 812, 144, 644, 988Calculator?
Out the numbers 812, 144, 644, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.