Online GCD Calculator is useful to find the GCD of 820, 644, 168, 812 quickly. Get the easiest ways to solve the greatest common divisor of 820, 644, 168, 812 i.e 4 in different methods as follows.
Given Input numbers are 820, 644, 168, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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
GCD of numbers is the greatest common divisor
So, the GCD (820, 644, 168, 812) = 4.
Given numbers are 820, 644, 168, 812
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 22
Therefore, GCD of 820, 644, 168, 812 is 4.
Given numbers are 820, 644, 168, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 644) = 132020
GCD(820, 644) = ( 820 x 644 ) / 132020
= 820 / 644
= 820
Step2:
LCM(4, 168) = 168
GCD(4, 168) = ( 4 x 168 ) / 168
= 4 / 168
= 4
Step3:
LCM(4, 812) = 812
GCD(4, 812) = ( 4 x 812 ) / 812
= 4 / 812
= 4
So, Greatest Common Divisor of 820, 644, 168, 812 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 644, 168, 812
The greatest common divisor of numbers 820, 644, 168, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 644, 168, 812 is 4.
1. What is the GCD of 820, 644, 168, 812?
GCD of given numbers 820, 644, 168, 812 is 4
2. How to calculate the greatest common divisor of 820, 644, 168, 812?
We can find the highest common divisor of 820, 644, 168, 812 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 820, 644, 168, 812 i.e 4.
3. How can I use the GCD of 820, 644, 168, 812Calculator?
Out the numbers 820, 644, 168, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.