GCD of 704, 960, 582, 694 Calculator

Given Input numbers are 704, 960, 582, 694

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (704, 960, 582, 694) = 2.

Given numbers are 704, 960, 582, 694

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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 582 are 2 x 3 x 97

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 704, 960, 582, 694 is 2.

Given numbers are 704, 960, 582, 694

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

Apply this formula for all numbers.

Step1:

LCM(704, 960) = 10560

GCD(704, 960) = ( 704 x 960 ) / 10560

= 704 / 960

= 704

Step2:

LCM(64, 582) = 18624

GCD(64, 582) = ( 64 x 582 ) / 18624

= 64 / 582

= 64

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 704, 960, 582, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 890, 658, 800
• GCD of 815, 897, 314, 206
• GCD of 455, 224, 671, 460
• GCD of 330, 665, 775, 128
• GCD of 362, 798, 363, 697

Given numbers are 704, 960, 582, 694
The greatest common divisor of numbers 704, 960, 582, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 960, 582, 694 is 2.

1. What is the GCD of 704, 960, 582, 694?

GCD of given numbers 704, 960, 582, 694 is 2

2. How to calculate the greatest common divisor of 704, 960, 582, 694?

We can find the highest common divisor of 704, 960, 582, 694 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, 960, 582, 694 i.e 2.

3. How can I use the GCD of 704, 960, 582, 694Calculator?

Out the numbers 704, 960, 582, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.