GCD of 371, 476, 31, 785 Calculator

Given Input numbers are 371, 476, 31, 785

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 371, 476, 31, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 476, 31, 785 is 1.

Therefore, GCD of numbers 371, 476, 31, 785 is 1

Given Input Data is 371, 476, 31, 785

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 31 is 31

Prime Factorization of 785 is 5 x 157

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(371, 476) = 25228

GCD(371, 476) = ( 371 x 476 ) / 25228

GCD(371, 476) = 176596 / 25228

GCD(371, 476) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 31

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

LCM(7, 31) = 217

GCD(7, 31) = ( 7 x 31 ) / 217

GCD(7, 31) = 217 / 217

GCD(7, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 371, 476, 31, 785 is 1

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• GCD of 885, 133, 31, 836
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1. What is the GCD of 371, 476, 31, 785?

GCD of 371, 476, 31, 785 is 1

2. Where do I get the detailed procedure to find GCD of 371, 476, 31, 785?

You can find a detailed procedure to find GCD of 371, 476, 31, 785 on our page.

3. How to find GCD of 371, 476, 31, 785 on a calculator?

You can find the GCD of 371, 476, 31, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.