Online GCD Calculator is useful to find the GCD of 687, 555, 348, 669 quickly. Get the easiest ways to solve the greatest common divisor of 687, 555, 348, 669 i.e 3 in different methods as follows.
Given Input numbers are 687, 555, 348, 669
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 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
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
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
GCD of numbers is the greatest common divisor
So, the GCD (687, 555, 348, 669) = 3.
Given numbers are 687, 555, 348, 669
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 555 are 3 x 5 x 37
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 669 are 3 x 223
The highest common occurrence is 31
Therefore, GCD of 687, 555, 348, 669 is 3.
Given numbers are 687, 555, 348, 669
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 555) = 127095
GCD(687, 555) = ( 687 x 555 ) / 127095
= 687 / 555
= 687
Step2:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
Step3:
LCM(3, 669) = 669
GCD(3, 669) = ( 3 x 669 ) / 669
= 3 / 669
= 3
So, Greatest Common Divisor of 687, 555, 348, 669 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 555, 348, 669
The greatest common divisor of numbers 687, 555, 348, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 555, 348, 669 is 3.
1. What is the GCD of 687, 555, 348, 669?
GCD of given numbers 687, 555, 348, 669 is 3
2. How to calculate the greatest common divisor of 687, 555, 348, 669?
We can find the highest common divisor of 687, 555, 348, 669 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, 555, 348, 669 i.e 3.
3. How can I use the GCD of 687, 555, 348, 669Calculator?
Out the numbers 687, 555, 348, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.