GCD of 29, 696, 280, 736 Calculator

Given Input numbers are 29, 696, 280, 736

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 29, 696, 280, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 696, 280, 736 is 1.

Therefore, GCD of numbers 29, 696, 280, 736 is 1

Given Input Data is 29, 696, 280, 736

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

Prime Factorization of 29 is 29

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(29, 696) = 696

GCD(29, 696) = ( 29 x 696 ) / 696

GCD(29, 696) = 20184 / 696

GCD(29, 696) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 280

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

LCM(29, 280) = 8120

GCD(29, 280) = ( 29 x 280 ) / 8120

GCD(29, 280) = 8120 / 8120

GCD(29, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 29, 696, 280, 736 is 1

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1. What is the GCD of 29, 696, 280, 736?

GCD of 29, 696, 280, 736 is 1

2. Where do I get the detailed procedure to find GCD of 29, 696, 280, 736?

You can find a detailed procedure to find GCD of 29, 696, 280, 736 on our page.

3. How to find GCD of 29, 696, 280, 736 on a calculator?

You can find the GCD of 29, 696, 280, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.