GCD of 345, 892, 74, 396 Calculator

Given Input numbers are 345, 892, 74, 396

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 74

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

1, 2, 37, 74

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 345, 892, 74, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 892, 74, 396 is 1.

Therefore, GCD of numbers 345, 892, 74, 396 is 1

Given Input Data is 345, 892, 74, 396

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 74 is 2 x 37

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(345, 892) = 307740

GCD(345, 892) = ( 345 x 892 ) / 307740

GCD(345, 892) = 307740 / 307740

GCD(345, 892) = 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 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 345, 892, 74, 396 is 1

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• GCD of 592, 978, 45, 820
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1. What is the GCD of 345, 892, 74, 396?

GCD of 345, 892, 74, 396 is 1

2. Where do I get the detailed procedure to find GCD of 345, 892, 74, 396?

You can find a detailed procedure to find GCD of 345, 892, 74, 396 on our page.

3. How to find GCD of 345, 892, 74, 396 on a calculator?

You can find the GCD of 345, 892, 74, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.