Online GCD Calculator is useful to find the GCD of 276, 345, 522 quickly. Get the easiest ways to solve the greatest common divisor of 276, 345, 522 i.e 3 in different methods as follows.
Given Input numbers are 276, 345, 522
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (276, 345, 522) = 3.
Given numbers are 276, 345, 522
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 345 are 3 x 5 x 23
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 276, 345, 522 is 3.
Given numbers are 276, 345, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 345) = 1380
GCD(276, 345) = ( 276 x 345 ) / 1380
= 276 / 345
= 276
Step2:
LCM(69, 522) = 12006
GCD(69, 522) = ( 69 x 522 ) / 12006
= 69 / 522
= 69
So, Greatest Common Divisor of 276, 345, 522 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 345, 522
The greatest common divisor of numbers 276, 345, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 345, 522 is 3.
1. What is the GCD of 276, 345, 522?
GCD of given numbers 276, 345, 522 is 3
2. How to calculate the greatest common divisor of 276, 345, 522?
We can find the highest common divisor of 276, 345, 522 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 276, 345, 522 i.e 3.
3. How can I use the GCD of 276, 345, 522Calculator?
Out the numbers 276, 345, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.