GCD of 791, 947, 312, 298 Calculator

Given Input numbers are 791, 947, 312, 298

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 791, 947, 312, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 947, 312, 298 is 1.

Therefore, GCD of numbers 791, 947, 312, 298 is 1

Given Input Data is 791, 947, 312, 298

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 947 is 947

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 298 is 2 x 149

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(791, 947) = 749077

GCD(791, 947) = ( 791 x 947 ) / 749077

GCD(791, 947) = 749077 / 749077

GCD(791, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 791, 947, 312, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 148, 143, 841
• GCD of 446, 438, 439, 974
• GCD of 833, 227, 697, 482
• GCD of 734, 548, 608, 645
• GCD of 891, 391, 259, 699

1. What is the GCD of 791, 947, 312, 298?

GCD of 791, 947, 312, 298 is 1

2. Where do I get the detailed procedure to find GCD of 791, 947, 312, 298?

You can find a detailed procedure to find GCD of 791, 947, 312, 298 on our page.

3. How to find GCD of 791, 947, 312, 298 on a calculator?

You can find the GCD of 791, 947, 312, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.