Online GCD Calculator is useful to find the GCD of 820, 984, 344, 652 quickly. Get the easiest ways to solve the greatest common divisor of 820, 984, 344, 652 i.e 4 in different methods as follows.
Given Input numbers are 820, 984, 344, 652
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (820, 984, 344, 652) = 4.
Given numbers are 820, 984, 344, 652
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 22
Therefore, GCD of 820, 984, 344, 652 is 4.
Given numbers are 820, 984, 344, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 984) = 4920
GCD(820, 984) = ( 820 x 984 ) / 4920
= 820 / 984
= 820
Step2:
LCM(164, 344) = 14104
GCD(164, 344) = ( 164 x 344 ) / 14104
= 164 / 344
= 164
Step3:
LCM(4, 652) = 652
GCD(4, 652) = ( 4 x 652 ) / 652
= 4 / 652
= 4
So, Greatest Common Divisor of 820, 984, 344, 652 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 984, 344, 652
The greatest common divisor of numbers 820, 984, 344, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 984, 344, 652 is 4.
1. What is the GCD of 820, 984, 344, 652?
GCD of given numbers 820, 984, 344, 652 is 4
2. How to calculate the greatest common divisor of 820, 984, 344, 652?
We can find the highest common divisor of 820, 984, 344, 652 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, 984, 344, 652 i.e 4.
3. How can I use the GCD of 820, 984, 344, 652Calculator?
Out the numbers 820, 984, 344, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.