Online GCD Calculator is useful to find the GCD of 838, 775, 798, 872 quickly. Get the easiest ways to solve the greatest common divisor of 838, 775, 798, 872 i.e 1 in different methods as follows.
Given Input numbers are 838, 775, 798, 872
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 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (838, 775, 798, 872) = 1.
Given numbers are 838, 775, 798, 872
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 775 are 5 x 5 x 31
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 838, 775, 798, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 775) = 649450
GCD(838, 775) = ( 838 x 775 ) / 649450
= 838 / 775
= 838
Step2:
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
= 1 / 798
= 1
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 838, 775, 798, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 775, 798, 872
The greatest common divisor of numbers 838, 775, 798, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 775, 798, 872 is 1.
1. What is the GCD of 838, 775, 798, 872?
GCD of given numbers 838, 775, 798, 872 is 1
2. How to calculate the greatest common divisor of 838, 775, 798, 872?
We can find the highest common divisor of 838, 775, 798, 872 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, 775, 798, 872 i.e 1.
3. How can I use the GCD of 838, 775, 798, 872Calculator?
Out the numbers 838, 775, 798, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.