GCD of 743, 945, 68, 273 Calculator

Given Input numbers are 743, 945, 68, 273

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 743, 945, 68, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 945, 68, 273 is 1.

Therefore, GCD of numbers 743, 945, 68, 273 is 1

Given Input Data is 743, 945, 68, 273

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

Prime Factorization of 743 is 743

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 273 is 3 x 7 x 13

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(743, 945) = 702135

GCD(743, 945) = ( 743 x 945 ) / 702135

GCD(743, 945) = 702135 / 702135

GCD(743, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 743, 945, 68, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 856, 44, 989
• GCD of 691, 617, 19, 385
• GCD of 868, 215, 60, 859
• GCD of 155, 713, 91, 676
• GCD of 857, 284, 77, 369

1. What is the GCD of 743, 945, 68, 273?

GCD of 743, 945, 68, 273 is 1

2. Where do I get the detailed procedure to find GCD of 743, 945, 68, 273?

You can find a detailed procedure to find GCD of 743, 945, 68, 273 on our page.

3. How to find GCD of 743, 945, 68, 273 on a calculator?

You can find the GCD of 743, 945, 68, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.