Online GCD Calculator is useful to find the GCD of 612, 231, 786, 687 quickly. Get the easiest ways to solve the greatest common divisor of 612, 231, 786, 687 i.e 3 in different methods as follows.
Given Input numbers are 612, 231, 786, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (612, 231, 786, 687) = 3.
Given numbers are 612, 231, 786, 687
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 231 are 3 x 7 x 11
Prime factors of 786 are 2 x 3 x 131
Prime factors of 687 are 3 x 229
The highest common occurrence is 31
Therefore, GCD of 612, 231, 786, 687 is 3.
Given numbers are 612, 231, 786, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 231) = 47124
GCD(612, 231) = ( 612 x 231 ) / 47124
= 612 / 231
= 612
Step2:
LCM(3, 786) = 786
GCD(3, 786) = ( 3 x 786 ) / 786
= 3 / 786
= 3
Step3:
LCM(3, 687) = 687
GCD(3, 687) = ( 3 x 687 ) / 687
= 3 / 687
= 3
So, Greatest Common Divisor of 612, 231, 786, 687 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 231, 786, 687
The greatest common divisor of numbers 612, 231, 786, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 231, 786, 687 is 3.
1. What is the GCD of 612, 231, 786, 687?
GCD of given numbers 612, 231, 786, 687 is 3
2. How to calculate the greatest common divisor of 612, 231, 786, 687?
We can find the highest common divisor of 612, 231, 786, 687 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 612, 231, 786, 687 i.e 3.
3. How can I use the GCD of 612, 231, 786, 687Calculator?
Out the numbers 612, 231, 786, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.