Online GCD Calculator is useful to find the GCD of 513, 921, 162, 681 quickly. Get the easiest ways to solve the greatest common divisor of 513, 921, 162, 681 i.e 3 in different methods as follows.
Given Input numbers are 513, 921, 162, 681
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
GCD of numbers is the greatest common divisor
So, the GCD (513, 921, 162, 681) = 3.
Given numbers are 513, 921, 162, 681
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 921 are 3 x 307
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 681 are 3 x 227
The highest common occurrence is 31
Therefore, GCD of 513, 921, 162, 681 is 3.
Given numbers are 513, 921, 162, 681
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 921) = 157491
GCD(513, 921) = ( 513 x 921 ) / 157491
= 513 / 921
= 513
Step2:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
Step3:
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
= 3 / 681
= 3
So, Greatest Common Divisor of 513, 921, 162, 681 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 921, 162, 681
The greatest common divisor of numbers 513, 921, 162, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 921, 162, 681 is 3.
1. What is the GCD of 513, 921, 162, 681?
GCD of given numbers 513, 921, 162, 681 is 3
2. How to calculate the greatest common divisor of 513, 921, 162, 681?
We can find the highest common divisor of 513, 921, 162, 681 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 513, 921, 162, 681 i.e 3.
3. How can I use the GCD of 513, 921, 162, 681Calculator?
Out the numbers 513, 921, 162, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.