Online GCD Calculator is useful to find the GCD of 704, 474, 540, 522 quickly. Get the easiest ways to solve the greatest common divisor of 704, 474, 540, 522 i.e 2 in different methods as follows.
Given Input numbers are 704, 474, 540, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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 (704, 474, 540, 522) = 2.
Given numbers are 704, 474, 540, 522
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 474 are 2 x 3 x 79
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 704, 474, 540, 522 is 2.
Given numbers are 704, 474, 540, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 474) = 166848
GCD(704, 474) = ( 704 x 474 ) / 166848
= 704 / 474
= 704
Step2:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
Step3:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
So, Greatest Common Divisor of 704, 474, 540, 522 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 474, 540, 522
The greatest common divisor of numbers 704, 474, 540, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 474, 540, 522 is 2.
1. What is the GCD of 704, 474, 540, 522?
GCD of given numbers 704, 474, 540, 522 is 2
2. How to calculate the greatest common divisor of 704, 474, 540, 522?
We can find the highest common divisor of 704, 474, 540, 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 704, 474, 540, 522 i.e 2.
3. How can I use the GCD of 704, 474, 540, 522Calculator?
Out the numbers 704, 474, 540, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.