GCD of 742, 714, 240, 269 Calculator

Given Input numbers are 742, 714, 240, 269

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 742, 714, 240, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 714, 240, 269 is 1.

Therefore, GCD of numbers 742, 714, 240, 269 is 1

Given Input Data is 742, 714, 240, 269

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 269 is 269

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(742, 714) = 37842

GCD(742, 714) = ( 742 x 714 ) / 37842

GCD(742, 714) = 529788 / 37842

GCD(742, 714) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 240

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

LCM(14, 240) = 1680

GCD(14, 240) = ( 14 x 240 ) / 1680

GCD(14, 240) = 3360 / 1680

GCD(14, 240) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

GCD of 742, 714, 240, 269 is 1

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1. What is the GCD of 742, 714, 240, 269?

GCD of 742, 714, 240, 269 is 1

2. Where do I get the detailed procedure to find GCD of 742, 714, 240, 269?

You can find a detailed procedure to find GCD of 742, 714, 240, 269 on our page.

3. How to find GCD of 742, 714, 240, 269 on a calculator?

You can find the GCD of 742, 714, 240, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.