GCD of 742, 392, 411, 355 Calculator

Given Input numbers are 742, 392, 411, 355

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 742, 392, 411, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 392, 411, 355 is 1.

Therefore, GCD of numbers 742, 392, 411, 355 is 1

Given Input Data is 742, 392, 411, 355

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 411 is 3 x 137

Prime Factorization of 355 is 5 x 71

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, 392) = 20776

GCD(742, 392) = ( 742 x 392 ) / 20776

GCD(742, 392) = 290864 / 20776

GCD(742, 392) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 411

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

LCM(14, 411) = 5754

GCD(14, 411) = ( 14 x 411 ) / 5754

GCD(14, 411) = 5754 / 5754

GCD(14, 411) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 742, 392, 411, 355 is 1

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1. What is the GCD of 742, 392, 411, 355?

GCD of 742, 392, 411, 355 is 1

2. Where do I get the detailed procedure to find GCD of 742, 392, 411, 355?

You can find a detailed procedure to find GCD of 742, 392, 411, 355 on our page.

3. How to find GCD of 742, 392, 411, 355 on a calculator?

You can find the GCD of 742, 392, 411, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.