Online GCD Calculator is useful to find the GCD of 687, 495, 513, 477 quickly. Get the easiest ways to solve the greatest common divisor of 687, 495, 513, 477 i.e 3 in different methods as follows.
Given Input numbers are 687, 495, 513, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (687, 495, 513, 477) = 3.
Given numbers are 687, 495, 513, 477
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 687, 495, 513, 477 is 3.
Given numbers are 687, 495, 513, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 495) = 113355
GCD(687, 495) = ( 687 x 495 ) / 113355
= 687 / 495
= 687
Step2:
LCM(3, 513) = 513
GCD(3, 513) = ( 3 x 513 ) / 513
= 3 / 513
= 3
Step3:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
So, Greatest Common Divisor of 687, 495, 513, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 495, 513, 477
The greatest common divisor of numbers 687, 495, 513, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 495, 513, 477 is 3.
1. What is the GCD of 687, 495, 513, 477?
GCD of given numbers 687, 495, 513, 477 is 3
2. How to calculate the greatest common divisor of 687, 495, 513, 477?
We can find the highest common divisor of 687, 495, 513, 477 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 687, 495, 513, 477 i.e 3.
3. How can I use the GCD of 687, 495, 513, 477Calculator?
Out the numbers 687, 495, 513, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.