GCD of 948, 762, 16, 831 Calculator

Given Input numbers are 948, 762, 16, 831

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 948, 762, 16, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 762, 16, 831 is 1.

Therefore, GCD of numbers 948, 762, 16, 831 is 1

Given Input Data is 948, 762, 16, 831

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 831 is 3 x 277

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(948, 762) = 120396

GCD(948, 762) = ( 948 x 762 ) / 120396

GCD(948, 762) = 722376 / 120396

GCD(948, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 831

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

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

GCD(2, 831) = 1662 / 1662

GCD(2, 831) = 1

GCD of 948, 762, 16, 831 is 1

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1. What is the GCD of 948, 762, 16, 831?

GCD of 948, 762, 16, 831 is 1

2. Where do I get the detailed procedure to find GCD of 948, 762, 16, 831?

You can find a detailed procedure to find GCD of 948, 762, 16, 831 on our page.

3. How to find GCD of 948, 762, 16, 831 on a calculator?

You can find the GCD of 948, 762, 16, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.