GCD of 553, 703, 805, 352 Calculator

Given Input numbers are 553, 703, 805, 352

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 553, 703, 805, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 703, 805, 352 is 1.

Therefore, GCD of numbers 553, 703, 805, 352 is 1

Given Input Data is 553, 703, 805, 352

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 703 is 19 x 37

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(553, 703) = 388759

GCD(553, 703) = ( 553 x 703 ) / 388759

GCD(553, 703) = 388759 / 388759

GCD(553, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 553, 703, 805, 352 is 1

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1. What is the GCD of 553, 703, 805, 352?

GCD of 553, 703, 805, 352 is 1

2. Where do I get the detailed procedure to find GCD of 553, 703, 805, 352?

You can find a detailed procedure to find GCD of 553, 703, 805, 352 on our page.

3. How to find GCD of 553, 703, 805, 352 on a calculator?

You can find the GCD of 553, 703, 805, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.