GCD of 830, 461, 42, 772 Calculator

Given Input numbers are 830, 461, 42, 772

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 830, 461, 42, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 461, 42, 772 is 1.

Therefore, GCD of numbers 830, 461, 42, 772 is 1

Given Input Data is 830, 461, 42, 772

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 461 is 461

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 772 is 2 x 2 x 193

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, 461) = 382630

GCD(830, 461) = ( 830 x 461 ) / 382630

GCD(830, 461) = 382630 / 382630

GCD(830, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 830, 461, 42, 772 is 1

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1. What is the GCD of 830, 461, 42, 772?

GCD of 830, 461, 42, 772 is 1

2. Where do I get the detailed procedure to find GCD of 830, 461, 42, 772?

You can find a detailed procedure to find GCD of 830, 461, 42, 772 on our page.

3. How to find GCD of 830, 461, 42, 772 on a calculator?

You can find the GCD of 830, 461, 42, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.