GCD of 828, 376, 74, 351 Calculator

Given Input numbers are 828, 376, 74, 351

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 74

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

1, 2, 37, 74

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 828, 376, 74, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 376, 74, 351 is 1.

Therefore, GCD of numbers 828, 376, 74, 351 is 1

Given Input Data is 828, 376, 74, 351

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 74 is 2 x 37

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(828, 376) = 77832

GCD(828, 376) = ( 828 x 376 ) / 77832

GCD(828, 376) = 311328 / 77832

GCD(828, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

GCD of 828, 376, 74, 351 is 1

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1. What is the GCD of 828, 376, 74, 351?

GCD of 828, 376, 74, 351 is 1

2. Where do I get the detailed procedure to find GCD of 828, 376, 74, 351?

You can find a detailed procedure to find GCD of 828, 376, 74, 351 on our page.

3. How to find GCD of 828, 376, 74, 351 on a calculator?

You can find the GCD of 828, 376, 74, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.