GCD of 540, 308, 74, 749 Calculator

Given Input numbers are 540, 308, 74, 749

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

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 540, 308, 74, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 308, 74, 749 is 1.

Therefore, GCD of numbers 540, 308, 74, 749 is 1

Given Input Data is 540, 308, 74, 749

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

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 749 is 7 x 107

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(540, 308) = 41580

GCD(540, 308) = ( 540 x 308 ) / 41580

GCD(540, 308) = 166320 / 41580

GCD(540, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 540, 308, 74, 749 is 1

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• GCD of 772, 176, 91, 257
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1. What is the GCD of 540, 308, 74, 749?

GCD of 540, 308, 74, 749 is 1

2. Where do I get the detailed procedure to find GCD of 540, 308, 74, 749?

You can find a detailed procedure to find GCD of 540, 308, 74, 749 on our page.

3. How to find GCD of 540, 308, 74, 749 on a calculator?

You can find the GCD of 540, 308, 74, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.