Online GCD Calculator is useful to find the GCD of 834, 272, 800, 986 quickly. Get the easiest ways to solve the greatest common divisor of 834, 272, 800, 986 i.e 2 in different methods as follows.
Given Input numbers are 834, 272, 800, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (834, 272, 800, 986) = 2.
Given numbers are 834, 272, 800, 986
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 834, 272, 800, 986 is 2.
Given numbers are 834, 272, 800, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 272) = 113424
GCD(834, 272) = ( 834 x 272 ) / 113424
= 834 / 272
= 834
Step2:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
Step3:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
So, Greatest Common Divisor of 834, 272, 800, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 272, 800, 986
The greatest common divisor of numbers 834, 272, 800, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 272, 800, 986 is 2.
1. What is the GCD of 834, 272, 800, 986?
GCD of given numbers 834, 272, 800, 986 is 2
2. How to calculate the greatest common divisor of 834, 272, 800, 986?
We can find the highest common divisor of 834, 272, 800, 986 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 834, 272, 800, 986 i.e 2.
3. How can I use the GCD of 834, 272, 800, 986Calculator?
Out the numbers 834, 272, 800, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.