Online GCD Calculator is useful to find the GCD of 849, 330, 699, 276 quickly. Get the easiest ways to solve the greatest common divisor of 849, 330, 699, 276 i.e 3 in different methods as follows.
Given Input numbers are 849, 330, 699, 276
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 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
GCD of numbers is the greatest common divisor
So, the GCD (849, 330, 699, 276) = 3.
Given numbers are 849, 330, 699, 276
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 699 are 3 x 233
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 849, 330, 699, 276 is 3.
Given numbers are 849, 330, 699, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 330) = 93390
GCD(849, 330) = ( 849 x 330 ) / 93390
= 849 / 330
= 849
Step2:
LCM(3, 699) = 699
GCD(3, 699) = ( 3 x 699 ) / 699
= 3 / 699
= 3
Step3:
LCM(3, 276) = 276
GCD(3, 276) = ( 3 x 276 ) / 276
= 3 / 276
= 3
So, Greatest Common Divisor of 849, 330, 699, 276 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 330, 699, 276
The greatest common divisor of numbers 849, 330, 699, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 330, 699, 276 is 3.
1. What is the GCD of 849, 330, 699, 276?
GCD of given numbers 849, 330, 699, 276 is 3
2. How to calculate the greatest common divisor of 849, 330, 699, 276?
We can find the highest common divisor of 849, 330, 699, 276 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, 330, 699, 276 i.e 3.
3. How can I use the GCD of 849, 330, 699, 276Calculator?
Out the numbers 849, 330, 699, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.