GCD of 742, 517, 49, 380 Calculator

Given Input numbers are 742, 517, 49, 380

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 742, 517, 49, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 517, 49, 380 is 1.

Therefore, GCD of numbers 742, 517, 49, 380 is 1

Given Input Data is 742, 517, 49, 380

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 517 is 11 x 47

Prime Factorization of 49 is 7 x 7

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 517) = 383614

GCD(742, 517) = ( 742 x 517 ) / 383614

GCD(742, 517) = 383614 / 383614

GCD(742, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 742, 517, 49, 380 is 1

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1. What is the GCD of 742, 517, 49, 380?

GCD of 742, 517, 49, 380 is 1

2. Where do I get the detailed procedure to find GCD of 742, 517, 49, 380?

You can find a detailed procedure to find GCD of 742, 517, 49, 380 on our page.

3. How to find GCD of 742, 517, 49, 380 on a calculator?

You can find the GCD of 742, 517, 49, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.