GCD of 480, 312, 65, 692 Calculator

Given Input numbers are 480, 312, 65, 692

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 480, 312, 65, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 312, 65, 692 is 1.

Therefore, GCD of numbers 480, 312, 65, 692 is 1

Given Input Data is 480, 312, 65, 692

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 692 is 2 x 2 x 173

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(480, 312) = 6240

GCD(480, 312) = ( 480 x 312 ) / 6240

GCD(480, 312) = 149760 / 6240

GCD(480, 312) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 65

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

LCM(24, 65) = 1560

GCD(24, 65) = ( 24 x 65 ) / 1560

GCD(24, 65) = 1560 / 1560

GCD(24, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 480, 312, 65, 692 is 1

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1. What is the GCD of 480, 312, 65, 692?

GCD of 480, 312, 65, 692 is 1

2. Where do I get the detailed procedure to find GCD of 480, 312, 65, 692?

You can find a detailed procedure to find GCD of 480, 312, 65, 692 on our page.

3. How to find GCD of 480, 312, 65, 692 on a calculator?

You can find the GCD of 480, 312, 65, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.