GCD of 996, 753, 348, 543 Calculator

Given Input numbers are 996, 753, 348, 543

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 996, 753, 348, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 753, 348, 543 is 3.

Therefore, GCD of numbers 996, 753, 348, 543 is 3

Given Input Data is 996, 753, 348, 543

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 753 is 3 x 251

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 543 is 3 x 181

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 753) = 249996

GCD(996, 753) = ( 996 x 753 ) / 249996

GCD(996, 753) = 749988 / 249996

GCD(996, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 348

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

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

GCD(3, 348) = 1044 / 348

GCD(3, 348) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 543

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

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

GCD(3, 543) = 1629 / 543

GCD(3, 543) = 3

GCD of 996, 753, 348, 543 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 141, 523, 999
• GCD of 120, 349, 220, 397
• GCD of 414, 481, 886, 717
• GCD of 688, 721, 181, 602
• GCD of 256, 937, 958, 343

1. What is the GCD of 996, 753, 348, 543?

GCD of 996, 753, 348, 543 is 3

2. Where do I get the detailed procedure to find GCD of 996, 753, 348, 543?

You can find a detailed procedure to find GCD of 996, 753, 348, 543 on our page.

3. How to find GCD of 996, 753, 348, 543 on a calculator?

You can find the GCD of 996, 753, 348, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.