GCD of 705, 664, 684, 304 Calculator

Given Input numbers are 705, 664, 684, 304

In the factoring method, we have to find the divisors of all numbers

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (705, 664, 684, 304) = 1.

Given numbers are 705, 664, 684, 304

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 705, 664, 684, 304

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

Apply this formula for all numbers.

Step1:

LCM(705, 664) = 468120

GCD(705, 664) = ( 705 x 664 ) / 468120

= 705 / 664

= 705

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 705, 664, 684, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 739, 937, 770
• GCD of 433, 145, 493, 412
• GCD of 564, 245, 106, 648
• GCD of 801, 787, 462, 589
• GCD of 100, 300, 603, 492

Given numbers are 705, 664, 684, 304
The greatest common divisor of numbers 705, 664, 684, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 664, 684, 304 is 1.

1. What is the GCD of 705, 664, 684, 304?

GCD of given numbers 705, 664, 684, 304 is 1

2. How to calculate the greatest common divisor of 705, 664, 684, 304?

We can find the highest common divisor of 705, 664, 684, 304 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 705, 664, 684, 304 i.e 1.

3. How can I use the GCD of 705, 664, 684, 304Calculator?

Out the numbers 705, 664, 684, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.