GCD of 696, 540, 33, 740 Calculator

Given Input numbers are 696, 540, 33, 740

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 696, 540, 33, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 540, 33, 740 is 1.

Therefore, GCD of numbers 696, 540, 33, 740 is 1

Given Input Data is 696, 540, 33, 740

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 33 is 3 x 11

Prime Factorization of 740 is 2 x 2 x 5 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(696, 540) = 31320

GCD(696, 540) = ( 696 x 540 ) / 31320

GCD(696, 540) = 375840 / 31320

GCD(696, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 33

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

LCM(12, 33) = 132

GCD(12, 33) = ( 12 x 33 ) / 132

GCD(12, 33) = 396 / 132

GCD(12, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 740

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

LCM(3, 740) = 2220

GCD(3, 740) = ( 3 x 740 ) / 2220

GCD(3, 740) = 2220 / 2220

GCD(3, 740) = 1

GCD of 696, 540, 33, 740 is 1

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1. What is the GCD of 696, 540, 33, 740?

GCD of 696, 540, 33, 740 is 1

2. Where do I get the detailed procedure to find GCD of 696, 540, 33, 740?

You can find a detailed procedure to find GCD of 696, 540, 33, 740 on our page.

3. How to find GCD of 696, 540, 33, 740 on a calculator?

You can find the GCD of 696, 540, 33, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.