Online GCD Calculator is useful to find the GCD of 838, 748, 852, 308 quickly. Get the easiest ways to solve the greatest common divisor of 838, 748, 852, 308 i.e 2 in different methods as follows.
Given Input numbers are 838, 748, 852, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (838, 748, 852, 308) = 2.
Given numbers are 838, 748, 852, 308
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 838, 748, 852, 308 is 2.
Given numbers are 838, 748, 852, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 748) = 313412
GCD(838, 748) = ( 838 x 748 ) / 313412
= 838 / 748
= 838
Step2:
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
= 2 / 852
= 2
Step3:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 838, 748, 852, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 748, 852, 308
The greatest common divisor of numbers 838, 748, 852, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 748, 852, 308 is 2.
1. What is the GCD of 838, 748, 852, 308?
GCD of given numbers 838, 748, 852, 308 is 2
2. How to calculate the greatest common divisor of 838, 748, 852, 308?
We can find the highest common divisor of 838, 748, 852, 308 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 838, 748, 852, 308 i.e 2.
3. How can I use the GCD of 838, 748, 852, 308Calculator?
Out the numbers 838, 748, 852, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.