GCD of 831, 628, 74, 371 Calculator

Given Input numbers are 831, 628, 74, 371

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

Divisors of 831

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

1, 3, 277, 831

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 371

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

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 831, 628, 74, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 628, 74, 371 is 1.

Therefore, GCD of numbers 831, 628, 74, 371 is 1

Given Input Data is 831, 628, 74, 371

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 74 is 2 x 37

Prime Factorization of 371 is 7 x 53

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(831, 628) = 521868

GCD(831, 628) = ( 831 x 628 ) / 521868

GCD(831, 628) = 521868 / 521868

GCD(831, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 831, 628, 74, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 356, 28, 413
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• GCD of 703, 334, 54, 976
• GCD of 102, 278, 72, 378
• GCD of 868, 578, 22, 660

1. What is the GCD of 831, 628, 74, 371?

GCD of 831, 628, 74, 371 is 1

2. Where do I get the detailed procedure to find GCD of 831, 628, 74, 371?

You can find a detailed procedure to find GCD of 831, 628, 74, 371 on our page.

3. How to find GCD of 831, 628, 74, 371 on a calculator?

You can find the GCD of 831, 628, 74, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.