GCD of 480, 272, 445, 688 Calculator

Given Input numbers are 480, 272, 445, 688

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (480, 272, 445, 688) = 1.

Given numbers are 480, 272, 445, 688

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 445 are 5 x 89

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 480, 272, 445, 688

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

Apply this formula for all numbers.

Step1:

LCM(480, 272) = 8160

GCD(480, 272) = ( 480 x 272 ) / 8160

= 480 / 272

= 480

Step2:

LCM(16, 445) = 7120

GCD(16, 445) = ( 16 x 445 ) / 7120

= 16 / 445

= 16

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 480, 272, 445, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 731, 112, 665
• GCD of 582, 250, 480, 949
• GCD of 258, 532, 267, 557
• GCD of 998, 799, 147, 901
• GCD of 694, 543, 157, 659

Given numbers are 480, 272, 445, 688
The greatest common divisor of numbers 480, 272, 445, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 272, 445, 688 is 1.

1. What is the GCD of 480, 272, 445, 688?

GCD of given numbers 480, 272, 445, 688 is 1

2. How to calculate the greatest common divisor of 480, 272, 445, 688?

We can find the highest common divisor of 480, 272, 445, 688 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 480, 272, 445, 688 i.e 1.

3. How can I use the GCD of 480, 272, 445, 688Calculator?

Out the numbers 480, 272, 445, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.