Online GCD Calculator is useful to find the GCD of 838, 238, 874, 464 quickly. Get the easiest ways to solve the greatest common divisor of 838, 238, 874, 464 i.e 2 in different methods as follows.
Given Input numbers are 838, 238, 874, 464
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (838, 238, 874, 464) = 2.
Given numbers are 838, 238, 874, 464
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 238 are 2 x 7 x 17
Prime factors of 874 are 2 x 19 x 23
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 838, 238, 874, 464 is 2.
Given numbers are 838, 238, 874, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 238) = 99722
GCD(838, 238) = ( 838 x 238 ) / 99722
= 838 / 238
= 838
Step2:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
Step3:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
So, Greatest Common Divisor of 838, 238, 874, 464 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 238, 874, 464
The greatest common divisor of numbers 838, 238, 874, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 238, 874, 464 is 2.
1. What is the GCD of 838, 238, 874, 464?
GCD of given numbers 838, 238, 874, 464 is 2
2. How to calculate the greatest common divisor of 838, 238, 874, 464?
We can find the highest common divisor of 838, 238, 874, 464 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, 238, 874, 464 i.e 2.
3. How can I use the GCD of 838, 238, 874, 464Calculator?
Out the numbers 838, 238, 874, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.