GCD of 742, 413, 687, 377 Calculator

Given Input numbers are 742, 413, 687, 377

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 742, 413, 687, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 413, 687, 377 is 1.

Therefore, GCD of numbers 742, 413, 687, 377 is 1

Given Input Data is 742, 413, 687, 377

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 413 is 7 x 59

Prime Factorization of 687 is 3 x 229

Prime Factorization of 377 is 13 x 29

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, 413) = 43778

GCD(742, 413) = ( 742 x 413 ) / 43778

GCD(742, 413) = 306446 / 43778

GCD(742, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 687

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

LCM(7, 687) = 4809

GCD(7, 687) = ( 7 x 687 ) / 4809

GCD(7, 687) = 4809 / 4809

GCD(7, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 742, 413, 687, 377 is 1

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1. What is the GCD of 742, 413, 687, 377?

GCD of 742, 413, 687, 377 is 1

2. Where do I get the detailed procedure to find GCD of 742, 413, 687, 377?

You can find a detailed procedure to find GCD of 742, 413, 687, 377 on our page.

3. How to find GCD of 742, 413, 687, 377 on a calculator?

You can find the GCD of 742, 413, 687, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.