Online GCD Calculator is useful to find the GCD of 681, 183, 612, 747 quickly. Get the easiest ways to solve the greatest common divisor of 681, 183, 612, 747 i.e 3 in different methods as follows.
Given Input numbers are 681, 183, 612, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
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 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (681, 183, 612, 747) = 3.
Given numbers are 681, 183, 612, 747
The list of prime factors of all numbers are
Prime factors of 681 are 3 x 227
Prime factors of 183 are 3 x 61
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 747 are 3 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 681, 183, 612, 747 is 3.
Given numbers are 681, 183, 612, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(681, 183) = 41541
GCD(681, 183) = ( 681 x 183 ) / 41541
= 681 / 183
= 681
Step2:
LCM(3, 612) = 612
GCD(3, 612) = ( 3 x 612 ) / 612
= 3 / 612
= 3
Step3:
LCM(3, 747) = 747
GCD(3, 747) = ( 3 x 747 ) / 747
= 3 / 747
= 3
So, Greatest Common Divisor of 681, 183, 612, 747 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 681, 183, 612, 747
The greatest common divisor of numbers 681, 183, 612, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 681, 183, 612, 747 is 3.
1. What is the GCD of 681, 183, 612, 747?
GCD of given numbers 681, 183, 612, 747 is 3
2. How to calculate the greatest common divisor of 681, 183, 612, 747?
We can find the highest common divisor of 681, 183, 612, 747 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 681, 183, 612, 747 i.e 3.
3. How can I use the GCD of 681, 183, 612, 747Calculator?
Out the numbers 681, 183, 612, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.