Online GCD Calculator is useful to find the GCD of 687, 570, 429, 486 quickly. Get the easiest ways to solve the greatest common divisor of 687, 570, 429, 486 i.e 3 in different methods as follows.
Given Input numbers are 687, 570, 429, 486
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 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (687, 570, 429, 486) = 3.
Given numbers are 687, 570, 429, 486
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 429 are 3 x 11 x 13
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 687, 570, 429, 486 is 3.
Given numbers are 687, 570, 429, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 570) = 130530
GCD(687, 570) = ( 687 x 570 ) / 130530
= 687 / 570
= 687
Step2:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
Step3:
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
= 3 / 486
= 3
So, Greatest Common Divisor of 687, 570, 429, 486 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 570, 429, 486
The greatest common divisor of numbers 687, 570, 429, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 570, 429, 486 is 3.
1. What is the GCD of 687, 570, 429, 486?
GCD of given numbers 687, 570, 429, 486 is 3
2. How to calculate the greatest common divisor of 687, 570, 429, 486?
We can find the highest common divisor of 687, 570, 429, 486 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, 570, 429, 486 i.e 3.
3. How can I use the GCD of 687, 570, 429, 486Calculator?
Out the numbers 687, 570, 429, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.