GCD of 704, 694, 749, 864 Calculator

Given Input numbers are 704, 694, 749, 864

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 694 :

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

1, 2, 347, 694

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (704, 694, 749, 864) = 1.

Given numbers are 704, 694, 749, 864

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 694 are 2 x 347

Prime factors of 749 are 7 x 107

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 704, 694, 749, 864

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

Apply this formula for all numbers.

Step1:

LCM(704, 694) = 244288

GCD(704, 694) = ( 704 x 694 ) / 244288

= 704 / 694

= 704

Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 704, 694, 749, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 182, 484, 218
• GCD of 984, 963, 976, 419
• GCD of 823, 984, 878, 230
• GCD of 242, 820, 329, 511
• GCD of 644, 715, 858, 521

Given numbers are 704, 694, 749, 864
The greatest common divisor of numbers 704, 694, 749, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 694, 749, 864 is 1.

1. What is the GCD of 704, 694, 749, 864?

GCD of given numbers 704, 694, 749, 864 is 1

2. How to calculate the greatest common divisor of 704, 694, 749, 864?

We can find the highest common divisor of 704, 694, 749, 864 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, 694, 749, 864 i.e 1.

3. How can I use the GCD of 704, 694, 749, 864Calculator?

Out the numbers 704, 694, 749, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.