GCD of 704, 549, 945, 320 Calculator

Given Input numbers are 704, 549, 945, 320

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (704, 549, 945, 320) = 1.

Given numbers are 704, 549, 945, 320

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 549 are 3 x 3 x 61

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 704, 549, 945, 320

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

Apply this formula for all numbers.

Step1:

LCM(704, 549) = 386496

GCD(704, 549) = ( 704 x 549 ) / 386496

= 704 / 549

= 704

Step2:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 704, 549, 945, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 659, 527, 493
• GCD of 780, 321, 892, 810
• GCD of 564, 812, 314, 159
• GCD of 172, 827, 774, 924
• GCD of 990, 708, 448, 491

Given numbers are 704, 549, 945, 320
The greatest common divisor of numbers 704, 549, 945, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 549, 945, 320 is 1.

1. What is the GCD of 704, 549, 945, 320?

GCD of given numbers 704, 549, 945, 320 is 1

2. How to calculate the greatest common divisor of 704, 549, 945, 320?

We can find the highest common divisor of 704, 549, 945, 320 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, 549, 945, 320 i.e 1.

3. How can I use the GCD of 704, 549, 945, 320Calculator?

Out the numbers 704, 549, 945, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.