GCD of 296, 824, 96, 709 Calculator

Given Input numbers are 296, 824, 96, 709

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 296, 824, 96, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 824, 96, 709 is 1.

Therefore, GCD of numbers 296, 824, 96, 709 is 1

Given Input Data is 296, 824, 96, 709

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 709 is 709

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, 824) = 30488

GCD(296, 824) = ( 296 x 824 ) / 30488

GCD(296, 824) = 243904 / 30488

GCD(296, 824) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 96

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

LCM(8, 96) = 96

GCD(8, 96) = ( 8 x 96 ) / 96

GCD(8, 96) = 768 / 96

GCD(8, 96) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 709

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

LCM(8, 709) = 5672

GCD(8, 709) = ( 8 x 709 ) / 5672

GCD(8, 709) = 5672 / 5672

GCD(8, 709) = 1

GCD of 296, 824, 96, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 239, 39, 391
• GCD of 919, 183, 95, 301
• GCD of 242, 507, 83, 660
• GCD of 187, 240, 37, 526
• GCD of 994, 615, 85, 804

1. What is the GCD of 296, 824, 96, 709?

GCD of 296, 824, 96, 709 is 1

2. Where do I get the detailed procedure to find GCD of 296, 824, 96, 709?

You can find a detailed procedure to find GCD of 296, 824, 96, 709 on our page.

3. How to find GCD of 296, 824, 96, 709 on a calculator?

You can find the GCD of 296, 824, 96, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.