GCD of 696, 880, 99, 272 Calculator

Given Input numbers are 696, 880, 99, 272

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 696, 880, 99, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 880, 99, 272 is 1.

Therefore, GCD of numbers 696, 880, 99, 272 is 1

Given Input Data is 696, 880, 99, 272

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 272 is 2 x 2 x 2 x 2 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(696, 880) = 76560

GCD(696, 880) = ( 696 x 880 ) / 76560

GCD(696, 880) = 612480 / 76560

GCD(696, 880) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 99

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

LCM(8, 99) = 792

GCD(8, 99) = ( 8 x 99 ) / 792

GCD(8, 99) = 792 / 792

GCD(8, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 696, 880, 99, 272 is 1

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1. What is the GCD of 696, 880, 99, 272?

GCD of 696, 880, 99, 272 is 1

2. Where do I get the detailed procedure to find GCD of 696, 880, 99, 272?

You can find a detailed procedure to find GCD of 696, 880, 99, 272 on our page.

3. How to find GCD of 696, 880, 99, 272 on a calculator?

You can find the GCD of 696, 880, 99, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.