Online GCD Calculator is useful to find the GCD of 538, 156, 338, 852 quickly. Get the easiest ways to solve the greatest common divisor of 538, 156, 338, 852 i.e 2 in different methods as follows.
Given Input numbers are 538, 156, 338, 852
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
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
GCD of numbers is the greatest common divisor
So, the GCD (538, 156, 338, 852) = 2.
Given numbers are 538, 156, 338, 852
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 338 are 2 x 13 x 13
Prime factors of 852 are 2 x 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 538, 156, 338, 852 is 2.
Given numbers are 538, 156, 338, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 156) = 41964
GCD(538, 156) = ( 538 x 156 ) / 41964
= 538 / 156
= 538
Step2:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
Step3:
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
= 2 / 852
= 2
So, Greatest Common Divisor of 538, 156, 338, 852 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 156, 338, 852
The greatest common divisor of numbers 538, 156, 338, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 156, 338, 852 is 2.
1. What is the GCD of 538, 156, 338, 852?
GCD of given numbers 538, 156, 338, 852 is 2
2. How to calculate the greatest common divisor of 538, 156, 338, 852?
We can find the highest common divisor of 538, 156, 338, 852 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 538, 156, 338, 852 i.e 2.
3. How can I use the GCD of 538, 156, 338, 852Calculator?
Out the numbers 538, 156, 338, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.