Online GCD Calculator is useful to find the GCD of 831, 747, 681, 348 quickly. Get the easiest ways to solve the greatest common divisor of 831, 747, 681, 348 i.e 3 in different methods as follows.
Given Input numbers are 831, 747, 681, 348
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 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (831, 747, 681, 348) = 3.
Given numbers are 831, 747, 681, 348
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 747 are 3 x 3 x 83
Prime factors of 681 are 3 x 227
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 831, 747, 681, 348 is 3.
Given numbers are 831, 747, 681, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 747) = 206919
GCD(831, 747) = ( 831 x 747 ) / 206919
= 831 / 747
= 831
Step2:
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
= 3 / 681
= 3
Step3:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
So, Greatest Common Divisor of 831, 747, 681, 348 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 747, 681, 348
The greatest common divisor of numbers 831, 747, 681, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 747, 681, 348 is 3.
1. What is the GCD of 831, 747, 681, 348?
GCD of given numbers 831, 747, 681, 348 is 3
2. How to calculate the greatest common divisor of 831, 747, 681, 348?
We can find the highest common divisor of 831, 747, 681, 348 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, 747, 681, 348 i.e 3.
3. How can I use the GCD of 831, 747, 681, 348Calculator?
Out the numbers 831, 747, 681, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.