Online GCD Calculator is useful to find the GCD of 852, 912, 194, 820 quickly. Get the easiest ways to solve the greatest common divisor of 852, 912, 194, 820 i.e 2 in different methods as follows.
Given Input numbers are 852, 912, 194, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
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
GCD of numbers is the greatest common divisor
So, the GCD (852, 912, 194, 820) = 2.
Given numbers are 852, 912, 194, 820
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 194 are 2 x 97
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 852, 912, 194, 820 is 2.
Given numbers are 852, 912, 194, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 912) = 64752
GCD(852, 912) = ( 852 x 912 ) / 64752
= 852 / 912
= 852
Step2:
LCM(12, 194) = 1164
GCD(12, 194) = ( 12 x 194 ) / 1164
= 12 / 194
= 12
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 852, 912, 194, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 912, 194, 820
The greatest common divisor of numbers 852, 912, 194, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 912, 194, 820 is 2.
1. What is the GCD of 852, 912, 194, 820?
GCD of given numbers 852, 912, 194, 820 is 2
2. How to calculate the greatest common divisor of 852, 912, 194, 820?
We can find the highest common divisor of 852, 912, 194, 820 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 852, 912, 194, 820 i.e 2.
3. How can I use the GCD of 852, 912, 194, 820Calculator?
Out the numbers 852, 912, 194, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.