GCD of 742, 299, 96, 111 Calculator

Given Input numbers are 742, 299, 96, 111

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 742, 299, 96, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 299, 96, 111 is 1.

Therefore, GCD of numbers 742, 299, 96, 111 is 1

Given Input Data is 742, 299, 96, 111

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 299 is 13 x 23

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

Prime Factorization of 111 is 3 x 37

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(742, 299) = 221858

GCD(742, 299) = ( 742 x 299 ) / 221858

GCD(742, 299) = 221858 / 221858

GCD(742, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 742, 299, 96, 111 is 1

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• GCD of 567, 347, 18, 808
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1. What is the GCD of 742, 299, 96, 111?

GCD of 742, 299, 96, 111 is 1

2. Where do I get the detailed procedure to find GCD of 742, 299, 96, 111?

You can find a detailed procedure to find GCD of 742, 299, 96, 111 on our page.

3. How to find GCD of 742, 299, 96, 111 on a calculator?

You can find the GCD of 742, 299, 96, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.