GCD of 296, 929, 45, 616 Calculator

Given Input numbers are 296, 929, 45, 616

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 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 296, 929, 45, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 929, 45, 616 is 1.

Therefore, GCD of numbers 296, 929, 45, 616 is 1

Given Input Data is 296, 929, 45, 616

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 929 is 929

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 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(296, 929) = 274984

GCD(296, 929) = ( 296 x 929 ) / 274984

GCD(296, 929) = 274984 / 274984

GCD(296, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 296, 929, 45, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 454, 91, 687
• GCD of 404, 733, 88, 123
• GCD of 406, 363, 66, 574
• GCD of 758, 860, 18, 639
• GCD of 731, 562, 54, 984

1. What is the GCD of 296, 929, 45, 616?

GCD of 296, 929, 45, 616 is 1

2. Where do I get the detailed procedure to find GCD of 296, 929, 45, 616?

You can find a detailed procedure to find GCD of 296, 929, 45, 616 on our page.

3. How to find GCD of 296, 929, 45, 616 on a calculator?

You can find the GCD of 296, 929, 45, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.