GCD of 830, 995, 38, 761 Calculator

Given Input numbers are 830, 995, 38, 761

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 830, 995, 38, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 995, 38, 761 is 1.

Therefore, GCD of numbers 830, 995, 38, 761 is 1

Given Input Data is 830, 995, 38, 761

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 995 is 5 x 199

Prime Factorization of 38 is 2 x 19

Prime Factorization of 761 is 761

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(830, 995) = 165170

GCD(830, 995) = ( 830 x 995 ) / 165170

GCD(830, 995) = 825850 / 165170

GCD(830, 995) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 38

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

LCM(5, 38) = 190

GCD(5, 38) = ( 5 x 38 ) / 190

GCD(5, 38) = 190 / 190

GCD(5, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 830, 995, 38, 761 is 1

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1. What is the GCD of 830, 995, 38, 761?

GCD of 830, 995, 38, 761 is 1

2. Where do I get the detailed procedure to find GCD of 830, 995, 38, 761?

You can find a detailed procedure to find GCD of 830, 995, 38, 761 on our page.

3. How to find GCD of 830, 995, 38, 761 on a calculator?

You can find the GCD of 830, 995, 38, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.