Online GCD Calculator is useful to find the GCD of 852, 424, 182, 506 quickly. Get the easiest ways to solve the greatest common divisor of 852, 424, 182, 506 i.e 2 in different methods as follows.
Given Input numbers are 852, 424, 182, 506
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 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
GCD of numbers is the greatest common divisor
So, the GCD (852, 424, 182, 506) = 2.
Given numbers are 852, 424, 182, 506
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 182 are 2 x 7 x 13
Prime factors of 506 are 2 x 11 x 23
The highest common occurrence is 21
Therefore, GCD of 852, 424, 182, 506 is 2.
Given numbers are 852, 424, 182, 506
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 424) = 90312
GCD(852, 424) = ( 852 x 424 ) / 90312
= 852 / 424
= 852
Step2:
LCM(4, 182) = 364
GCD(4, 182) = ( 4 x 182 ) / 364
= 4 / 182
= 4
Step3:
LCM(2, 506) = 506
GCD(2, 506) = ( 2 x 506 ) / 506
= 2 / 506
= 2
So, Greatest Common Divisor of 852, 424, 182, 506 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 424, 182, 506
The greatest common divisor of numbers 852, 424, 182, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 424, 182, 506 is 2.
1. What is the GCD of 852, 424, 182, 506?
GCD of given numbers 852, 424, 182, 506 is 2
2. How to calculate the greatest common divisor of 852, 424, 182, 506?
We can find the highest common divisor of 852, 424, 182, 506 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, 424, 182, 506 i.e 2.
3. How can I use the GCD of 852, 424, 182, 506Calculator?
Out the numbers 852, 424, 182, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.