Online GCD Calculator is useful to find the GCD of 174, 849, 396, 765 quickly. Get the easiest ways to solve the greatest common divisor of 174, 849, 396, 765 i.e 3 in different methods as follows.
Given Input numbers are 174, 849, 396, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (174, 849, 396, 765) = 3.
Given numbers are 174, 849, 396, 765
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 849 are 3 x 283
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 174, 849, 396, 765 is 3.
Given numbers are 174, 849, 396, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 849) = 49242
GCD(174, 849) = ( 174 x 849 ) / 49242
= 174 / 849
= 174
Step2:
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
= 3 / 396
= 3
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 174, 849, 396, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 849, 396, 765
The greatest common divisor of numbers 174, 849, 396, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 849, 396, 765 is 3.
1. What is the GCD of 174, 849, 396, 765?
GCD of given numbers 174, 849, 396, 765 is 3
2. How to calculate the greatest common divisor of 174, 849, 396, 765?
We can find the highest common divisor of 174, 849, 396, 765 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 174, 849, 396, 765 i.e 3.
3. How can I use the GCD of 174, 849, 396, 765Calculator?
Out the numbers 174, 849, 396, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.