GCD of 791, 314, 59, 469 Calculator

Given Input numbers are 791, 314, 59, 469

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 791, 314, 59, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 314, 59, 469 is 1.

Therefore, GCD of numbers 791, 314, 59, 469 is 1

Given Input Data is 791, 314, 59, 469

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 314 is 2 x 157

Prime Factorization of 59 is 59

Prime Factorization of 469 is 7 x 67

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, 314) = 248374

GCD(791, 314) = ( 791 x 314 ) / 248374

GCD(791, 314) = 248374 / 248374

GCD(791, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 791, 314, 59, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 596, 50, 161
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• GCD of 759, 694, 12, 933
• GCD of 160, 478, 83, 279
• GCD of 830, 823, 67, 237

1. What is the GCD of 791, 314, 59, 469?

GCD of 791, 314, 59, 469 is 1

2. Where do I get the detailed procedure to find GCD of 791, 314, 59, 469?

You can find a detailed procedure to find GCD of 791, 314, 59, 469 on our page.

3. How to find GCD of 791, 314, 59, 469 on a calculator?

You can find the GCD of 791, 314, 59, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.