Online GCD Calculator is useful to find the GCD of 687, 381, 570, 891 quickly. Get the easiest ways to solve the greatest common divisor of 687, 381, 570, 891 i.e 3 in different methods as follows.
Given Input numbers are 687, 381, 570, 891
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
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 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
GCD of numbers is the greatest common divisor
So, the GCD (687, 381, 570, 891) = 3.
Given numbers are 687, 381, 570, 891
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 381 are 3 x 127
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 687, 381, 570, 891 is 3.
Given numbers are 687, 381, 570, 891
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 381) = 87249
GCD(687, 381) = ( 687 x 381 ) / 87249
= 687 / 381
= 687
Step2:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
Step3:
LCM(3, 891) = 891
GCD(3, 891) = ( 3 x 891 ) / 891
= 3 / 891
= 3
So, Greatest Common Divisor of 687, 381, 570, 891 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 381, 570, 891
The greatest common divisor of numbers 687, 381, 570, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 381, 570, 891 is 3.
1. What is the GCD of 687, 381, 570, 891?
GCD of given numbers 687, 381, 570, 891 is 3
2. How to calculate the greatest common divisor of 687, 381, 570, 891?
We can find the highest common divisor of 687, 381, 570, 891 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, 381, 570, 891 i.e 3.
3. How can I use the GCD of 687, 381, 570, 891Calculator?
Out the numbers 687, 381, 570, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.