GCD of 75, 342, 395, 758 Calculator

Given Input numbers are 75, 342, 395, 758

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 75, 342, 395, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 342, 395, 758 is 1.

Therefore, GCD of numbers 75, 342, 395, 758 is 1

Given Input Data is 75, 342, 395, 758

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 395 is 5 x 79

Prime Factorization of 758 is 2 x 379

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(75, 342) = 8550

GCD(75, 342) = ( 75 x 342 ) / 8550

GCD(75, 342) = 25650 / 8550

GCD(75, 342) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 395

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

LCM(3, 395) = 1185

GCD(3, 395) = ( 3 x 395 ) / 1185

GCD(3, 395) = 1185 / 1185

GCD(3, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 75, 342, 395, 758 is 1

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• GCD of 37, 211, 930, 868
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1. What is the GCD of 75, 342, 395, 758?

GCD of 75, 342, 395, 758 is 1

2. Where do I get the detailed procedure to find GCD of 75, 342, 395, 758?

You can find a detailed procedure to find GCD of 75, 342, 395, 758 on our page.

3. How to find GCD of 75, 342, 395, 758 on a calculator?

You can find the GCD of 75, 342, 395, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.