GCD of 742, 613, 938, 351 Calculator

Given Input numbers are 742, 613, 938, 351

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 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 742, 613, 938, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 613, 938, 351 is 1.

Therefore, GCD of numbers 742, 613, 938, 351 is 1

Given Input Data is 742, 613, 938, 351

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 613 is 613

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 351 is 3 x 3 x 3 x 13

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, 613) = 454846

GCD(742, 613) = ( 742 x 613 ) / 454846

GCD(742, 613) = 454846 / 454846

GCD(742, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 742, 613, 938, 351 is 1

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1. What is the GCD of 742, 613, 938, 351?

GCD of 742, 613, 938, 351 is 1

2. Where do I get the detailed procedure to find GCD of 742, 613, 938, 351?

You can find a detailed procedure to find GCD of 742, 613, 938, 351 on our page.

3. How to find GCD of 742, 613, 938, 351 on a calculator?

You can find the GCD of 742, 613, 938, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.