GCD of 925, 714, 96, 586 Calculator

Given Input numbers are 925, 714, 96, 586

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 925, 714, 96, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 714, 96, 586 is 1.

Therefore, GCD of numbers 925, 714, 96, 586 is 1

Given Input Data is 925, 714, 96, 586

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 714 is 2 x 3 x 7 x 17

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

Prime Factorization of 586 is 2 x 293

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(925, 714) = 660450

GCD(925, 714) = ( 925 x 714 ) / 660450

GCD(925, 714) = 660450 / 660450

GCD(925, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 925, 714, 96, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 877, 36, 183
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1. What is the GCD of 925, 714, 96, 586?

GCD of 925, 714, 96, 586 is 1

2. Where do I get the detailed procedure to find GCD of 925, 714, 96, 586?

You can find a detailed procedure to find GCD of 925, 714, 96, 586 on our page.

3. How to find GCD of 925, 714, 96, 586 on a calculator?

You can find the GCD of 925, 714, 96, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.