GCD of 704, 360, 566, 550 Calculator

Given Input numbers are 704, 360, 566, 550

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (704, 360, 566, 550) = 2.

Given numbers are 704, 360, 566, 550

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 566 are 2 x 283

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 704, 360, 566, 550 is 2.

Given numbers are 704, 360, 566, 550

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(704, 360) = 31680

GCD(704, 360) = ( 704 x 360 ) / 31680

= 704 / 360

= 704

Step2:

LCM(8, 566) = 2264

GCD(8, 566) = ( 8 x 566 ) / 2264

= 8 / 566

= 8

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 704, 360, 566, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 613, 361, 972
• GCD of 563, 550, 570, 923
• GCD of 308, 488, 600, 213
• GCD of 281, 683, 356, 623
• GCD of 663, 142, 691, 623

Given numbers are 704, 360, 566, 550
The greatest common divisor of numbers 704, 360, 566, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 360, 566, 550 is 2.

1. What is the GCD of 704, 360, 566, 550?

GCD of given numbers 704, 360, 566, 550 is 2

2. How to calculate the greatest common divisor of 704, 360, 566, 550?

We can find the highest common divisor of 704, 360, 566, 550 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, 360, 566, 550 i.e 2.

3. How can I use the GCD of 704, 360, 566, 550Calculator?

Out the numbers 704, 360, 566, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.