Online GCD Calculator is useful to find the GCD of 165, 348, 906, 276 quickly. Get the easiest ways to solve the greatest common divisor of 165, 348, 906, 276 i.e 3 in different methods as follows.
Given Input numbers are 165, 348, 906, 276
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
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 (165, 348, 906, 276) = 3.
Given numbers are 165, 348, 906, 276
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 906 are 2 x 3 x 151
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 165, 348, 906, 276 is 3.
Given numbers are 165, 348, 906, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 348) = 19140
GCD(165, 348) = ( 165 x 348 ) / 19140
= 165 / 348
= 165
Step2:
LCM(3, 906) = 906
GCD(3, 906) = ( 3 x 906 ) / 906
= 3 / 906
= 3
Step3:
LCM(3, 276) = 276
GCD(3, 276) = ( 3 x 276 ) / 276
= 3 / 276
= 3
So, Greatest Common Divisor of 165, 348, 906, 276 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 348, 906, 276
The greatest common divisor of numbers 165, 348, 906, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 348, 906, 276 is 3.
1. What is the GCD of 165, 348, 906, 276?
GCD of given numbers 165, 348, 906, 276 is 3
2. How to calculate the greatest common divisor of 165, 348, 906, 276?
We can find the highest common divisor of 165, 348, 906, 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 165, 348, 906, 276 i.e 3.
3. How can I use the GCD of 165, 348, 906, 276Calculator?
Out the numbers 165, 348, 906, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.