GCD of 675, 705, 48, 833 Calculator

Given Input numbers are 675, 705, 48, 833

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

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 675, 705, 48, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 705, 48, 833 is 1.

Therefore, GCD of numbers 675, 705, 48, 833 is 1

Given Input Data is 675, 705, 48, 833

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 833 is 7 x 7 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(675, 705) = 31725

GCD(675, 705) = ( 675 x 705 ) / 31725

GCD(675, 705) = 475875 / 31725

GCD(675, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 48

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

LCM(15, 48) = 240

GCD(15, 48) = ( 15 x 48 ) / 240

GCD(15, 48) = 720 / 240

GCD(15, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 833

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

LCM(3, 833) = 2499

GCD(3, 833) = ( 3 x 833 ) / 2499

GCD(3, 833) = 2499 / 2499

GCD(3, 833) = 1

GCD of 675, 705, 48, 833 is 1

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1. What is the GCD of 675, 705, 48, 833?

GCD of 675, 705, 48, 833 is 1

2. Where do I get the detailed procedure to find GCD of 675, 705, 48, 833?

You can find a detailed procedure to find GCD of 675, 705, 48, 833 on our page.

3. How to find GCD of 675, 705, 48, 833 on a calculator?

You can find the GCD of 675, 705, 48, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.