GCD of 480, 675, 694, 369 Calculator

Given Input numbers are 480, 675, 694, 369

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 480, 675, 694, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 675, 694, 369 is 1.

Therefore, GCD of numbers 480, 675, 694, 369 is 1

Given Input Data is 480, 675, 694, 369

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 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 694 is 2 x 347

Prime Factorization of 369 is 3 x 3 x 41

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, 675) = 21600

GCD(480, 675) = ( 480 x 675 ) / 21600

GCD(480, 675) = 324000 / 21600

GCD(480, 675) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 694

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

LCM(15, 694) = 10410

GCD(15, 694) = ( 15 x 694 ) / 10410

GCD(15, 694) = 10410 / 10410

GCD(15, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 480, 675, 694, 369 is 1

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1. What is the GCD of 480, 675, 694, 369?

GCD of 480, 675, 694, 369 is 1

2. Where do I get the detailed procedure to find GCD of 480, 675, 694, 369?

You can find a detailed procedure to find GCD of 480, 675, 694, 369 on our page.

3. How to find GCD of 480, 675, 694, 369 on a calculator?

You can find the GCD of 480, 675, 694, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.