GCD of 584, 376, 96, 917 Calculator

Given Input numbers are 584, 376, 96, 917

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 917

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

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 584, 376, 96, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 376, 96, 917 is 1.

Therefore, GCD of numbers 584, 376, 96, 917 is 1

Given Input Data is 584, 376, 96, 917

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 917 is 7 x 131

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(584, 376) = 27448

GCD(584, 376) = ( 584 x 376 ) / 27448

GCD(584, 376) = 219584 / 27448

GCD(584, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 96

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

LCM(8, 96) = 96

GCD(8, 96) = ( 8 x 96 ) / 96

GCD(8, 96) = 768 / 96

GCD(8, 96) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 917

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

LCM(8, 917) = 7336

GCD(8, 917) = ( 8 x 917 ) / 7336

GCD(8, 917) = 7336 / 7336

GCD(8, 917) = 1

GCD of 584, 376, 96, 917 is 1

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• GCD of 145, 945, 29, 750
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1. What is the GCD of 584, 376, 96, 917?

GCD of 584, 376, 96, 917 is 1

2. Where do I get the detailed procedure to find GCD of 584, 376, 96, 917?

You can find a detailed procedure to find GCD of 584, 376, 96, 917 on our page.

3. How to find GCD of 584, 376, 96, 917 on a calculator?

You can find the GCD of 584, 376, 96, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.