GCD of 742, 631, 25, 381 Calculator

Given Input numbers are 742, 631, 25, 381

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 742, 631, 25, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 631, 25, 381 is 1.

Therefore, GCD of numbers 742, 631, 25, 381 is 1

Given Input Data is 742, 631, 25, 381

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 631 is 631

Prime Factorization of 25 is 5 x 5

Prime Factorization of 381 is 3 x 127

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, 631) = 468202

GCD(742, 631) = ( 742 x 631 ) / 468202

GCD(742, 631) = 468202 / 468202

GCD(742, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 742, 631, 25, 381 is 1

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• GCD of 105, 916, 40, 848
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1. What is the GCD of 742, 631, 25, 381?

GCD of 742, 631, 25, 381 is 1

2. Where do I get the detailed procedure to find GCD of 742, 631, 25, 381?

You can find a detailed procedure to find GCD of 742, 631, 25, 381 on our page.

3. How to find GCD of 742, 631, 25, 381 on a calculator?

You can find the GCD of 742, 631, 25, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.