Online GCD Calculator is useful to find the GCD of 831, 258, 687, 771 quickly. Get the easiest ways to solve the greatest common divisor of 831, 258, 687, 771 i.e 3 in different methods as follows.
Given Input numbers are 831, 258, 687, 771
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (831, 258, 687, 771) = 3.
Given numbers are 831, 258, 687, 771
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 258 are 2 x 3 x 43
Prime factors of 687 are 3 x 229
Prime factors of 771 are 3 x 257
The highest common occurrence is 31
Therefore, GCD of 831, 258, 687, 771 is 3.
Given numbers are 831, 258, 687, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 258) = 71466
GCD(831, 258) = ( 831 x 258 ) / 71466
= 831 / 258
= 831
Step2:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
Step3:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
So, Greatest Common Divisor of 831, 258, 687, 771 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 258, 687, 771
The greatest common divisor of numbers 831, 258, 687, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 258, 687, 771 is 3.
1. What is the GCD of 831, 258, 687, 771?
GCD of given numbers 831, 258, 687, 771 is 3
2. How to calculate the greatest common divisor of 831, 258, 687, 771?
We can find the highest common divisor of 831, 258, 687, 771 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 831, 258, 687, 771 i.e 3.
3. How can I use the GCD of 831, 258, 687, 771Calculator?
Out the numbers 831, 258, 687, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.