GCD of 917, 892, 616, 321 Calculator

Given Input numbers are 917, 892, 616, 321

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 917, 892, 616, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 892, 616, 321 is 1.

Therefore, GCD of numbers 917, 892, 616, 321 is 1

Given Input Data is 917, 892, 616, 321

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 321 is 3 x 107

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(917, 892) = 817964

GCD(917, 892) = ( 917 x 892 ) / 817964

GCD(917, 892) = 817964 / 817964

GCD(917, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 917, 892, 616, 321 is 1

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1. What is the GCD of 917, 892, 616, 321?

GCD of 917, 892, 616, 321 is 1

2. Where do I get the detailed procedure to find GCD of 917, 892, 616, 321?

You can find a detailed procedure to find GCD of 917, 892, 616, 321 on our page.

3. How to find GCD of 917, 892, 616, 321 on a calculator?

You can find the GCD of 917, 892, 616, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.