GCD of 296, 989, 832, 697 Calculator

Given Input numbers are 296, 989, 832, 697

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 296, 989, 832, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 989, 832, 697 is 1.

Therefore, GCD of numbers 296, 989, 832, 697 is 1

Given Input Data is 296, 989, 832, 697

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 989 is 23 x 43

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 697 is 17 x 41

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(296, 989) = 292744

GCD(296, 989) = ( 296 x 989 ) / 292744

GCD(296, 989) = 292744 / 292744

GCD(296, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 296, 989, 832, 697 is 1

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1. What is the GCD of 296, 989, 832, 697?

GCD of 296, 989, 832, 697 is 1

2. Where do I get the detailed procedure to find GCD of 296, 989, 832, 697?

You can find a detailed procedure to find GCD of 296, 989, 832, 697 on our page.

3. How to find GCD of 296, 989, 832, 697 on a calculator?

You can find the GCD of 296, 989, 832, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.