Online GCD Calculator is useful to find the GCD of 828, 758, 838, 800 quickly. Get the easiest ways to solve the greatest common divisor of 828, 758, 838, 800 i.e 2 in different methods as follows.
Given Input numbers are 828, 758, 838, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (828, 758, 838, 800) = 2.
Given numbers are 828, 758, 838, 800
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 758 are 2 x 379
Prime factors of 838 are 2 x 419
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 828, 758, 838, 800 is 2.
Given numbers are 828, 758, 838, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 758) = 313812
GCD(828, 758) = ( 828 x 758 ) / 313812
= 828 / 758
= 828
Step2:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
Step3:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
So, Greatest Common Divisor of 828, 758, 838, 800 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 758, 838, 800
The greatest common divisor of numbers 828, 758, 838, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 758, 838, 800 is 2.
1. What is the GCD of 828, 758, 838, 800?
GCD of given numbers 828, 758, 838, 800 is 2
2. How to calculate the greatest common divisor of 828, 758, 838, 800?
We can find the highest common divisor of 828, 758, 838, 800 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 828, 758, 838, 800 i.e 2.
3. How can I use the GCD of 828, 758, 838, 800Calculator?
Out the numbers 828, 758, 838, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.