GCD of 704, 386, 674, 576 Calculator

Given Input numbers are 704, 386, 674, 576

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 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (704, 386, 674, 576) = 2.

Given numbers are 704, 386, 674, 576

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 386 are 2 x 193

Prime factors of 674 are 2 x 337

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 704, 386, 674, 576 is 2.

Given numbers are 704, 386, 674, 576

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

Apply this formula for all numbers.

Step1:

LCM(704, 386) = 135872

GCD(704, 386) = ( 704 x 386 ) / 135872

= 704 / 386

= 704

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

So, Greatest Common Divisor of 704, 386, 674, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 402, 177, 613
• GCD of 757, 634, 365, 299
• GCD of 251, 650, 522, 212
• GCD of 833, 306, 206, 737
• GCD of 127, 871, 923, 885

Given numbers are 704, 386, 674, 576
The greatest common divisor of numbers 704, 386, 674, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 386, 674, 576 is 2.

1. What is the GCD of 704, 386, 674, 576?

GCD of given numbers 704, 386, 674, 576 is 2

2. How to calculate the greatest common divisor of 704, 386, 674, 576?

We can find the highest common divisor of 704, 386, 674, 576 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, 386, 674, 576 i.e 2.

3. How can I use the GCD of 704, 386, 674, 576Calculator?

Out the numbers 704, 386, 674, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.