GCD of 735, 488, 684, 408 Calculator

Given Input numbers are 735, 488, 684, 408

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 735, 488, 684, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 488, 684, 408 is 1.

Therefore, GCD of numbers 735, 488, 684, 408 is 1

Given Input Data is 735, 488, 684, 408

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(735, 488) = 358680

GCD(735, 488) = ( 735 x 488 ) / 358680

GCD(735, 488) = 358680 / 358680

GCD(735, 488) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

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

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 735, 488, 684, 408 is 1

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1. What is the GCD of 735, 488, 684, 408?

GCD of 735, 488, 684, 408 is 1

2. Where do I get the detailed procedure to find GCD of 735, 488, 684, 408?

You can find a detailed procedure to find GCD of 735, 488, 684, 408 on our page.

3. How to find GCD of 735, 488, 684, 408 on a calculator?

You can find the GCD of 735, 488, 684, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.