Online GCD Calculator is useful to find the GCD of 849, 327, 258, 699 quickly. Get the easiest ways to solve the greatest common divisor of 849, 327, 258, 699 i.e 3 in different methods as follows.
Given Input numbers are 849, 327, 258, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (849, 327, 258, 699) = 3.
Given numbers are 849, 327, 258, 699
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 327 are 3 x 109
Prime factors of 258 are 2 x 3 x 43
Prime factors of 699 are 3 x 233
The highest common occurrence is 31
Therefore, GCD of 849, 327, 258, 699 is 3.
Given numbers are 849, 327, 258, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 327) = 92541
GCD(849, 327) = ( 849 x 327 ) / 92541
= 849 / 327
= 849
Step2:
LCM(3, 258) = 258
GCD(3, 258) = ( 3 x 258 ) / 258
= 3 / 258
= 3
Step3:
LCM(3, 699) = 699
GCD(3, 699) = ( 3 x 699 ) / 699
= 3 / 699
= 3
So, Greatest Common Divisor of 849, 327, 258, 699 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 327, 258, 699
The greatest common divisor of numbers 849, 327, 258, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 327, 258, 699 is 3.
1. What is the GCD of 849, 327, 258, 699?
GCD of given numbers 849, 327, 258, 699 is 3
2. How to calculate the greatest common divisor of 849, 327, 258, 699?
We can find the highest common divisor of 849, 327, 258, 699 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 849, 327, 258, 699 i.e 3.
3. How can I use the GCD of 849, 327, 258, 699Calculator?
Out the numbers 849, 327, 258, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.