GCD of 296, 733, 16, 354 Calculator

Given Input numbers are 296, 733, 16, 354

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 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 296, 733, 16, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 733, 16, 354 is 1.

Therefore, GCD of numbers 296, 733, 16, 354 is 1

Given Input Data is 296, 733, 16, 354

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 733 is 733

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 354 is 2 x 3 x 59

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, 733) = 216968

GCD(296, 733) = ( 296 x 733 ) / 216968

GCD(296, 733) = 216968 / 216968

GCD(296, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 296, 733, 16, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 251, 26, 769
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• GCD of 573, 194, 36, 222
• GCD of 366, 479, 66, 856
• GCD of 281, 176, 60, 300

1. What is the GCD of 296, 733, 16, 354?

GCD of 296, 733, 16, 354 is 1

2. Where do I get the detailed procedure to find GCD of 296, 733, 16, 354?

You can find a detailed procedure to find GCD of 296, 733, 16, 354 on our page.

3. How to find GCD of 296, 733, 16, 354 on a calculator?

You can find the GCD of 296, 733, 16, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.