GCD of 996, 755, 14, 257 Calculator

Given Input numbers are 996, 755, 14, 257

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 996, 755, 14, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 755, 14, 257 is 1.

Therefore, GCD of numbers 996, 755, 14, 257 is 1

Given Input Data is 996, 755, 14, 257

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 755 is 5 x 151

Prime Factorization of 14 is 2 x 7

Prime Factorization of 257 is 257

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(996, 755) = 751980

GCD(996, 755) = ( 996 x 755 ) / 751980

GCD(996, 755) = 751980 / 751980

GCD(996, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 996, 755, 14, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 199, 37, 914
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• GCD of 662, 950, 71, 185
• GCD of 388, 172, 85, 641
• GCD of 117, 434, 15, 490

1. What is the GCD of 996, 755, 14, 257?

GCD of 996, 755, 14, 257 is 1

2. Where do I get the detailed procedure to find GCD of 996, 755, 14, 257?

You can find a detailed procedure to find GCD of 996, 755, 14, 257 on our page.

3. How to find GCD of 996, 755, 14, 257 on a calculator?

You can find the GCD of 996, 755, 14, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.