GCD of 87, 725, 589, 158 Calculator

Given Input numbers are 87, 725, 589, 158

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 87, 725, 589, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 725, 589, 158 is 1.

Therefore, GCD of numbers 87, 725, 589, 158 is 1

Given Input Data is 87, 725, 589, 158

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 589 is 19 x 31

Prime Factorization of 158 is 2 x 79

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(87, 725) = 2175

GCD(87, 725) = ( 87 x 725 ) / 2175

GCD(87, 725) = 63075 / 2175

GCD(87, 725) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 589

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

LCM(29, 589) = 17081

GCD(29, 589) = ( 29 x 589 ) / 17081

GCD(29, 589) = 17081 / 17081

GCD(29, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 87, 725, 589, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 652, 296, 294
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• GCD of 44, 397, 314, 592
• GCD of 38, 792, 143, 374
• GCD of 85, 424, 481, 582

1. What is the GCD of 87, 725, 589, 158?

GCD of 87, 725, 589, 158 is 1

2. Where do I get the detailed procedure to find GCD of 87, 725, 589, 158?

You can find a detailed procedure to find GCD of 87, 725, 589, 158 on our page.

3. How to find GCD of 87, 725, 589, 158 on a calculator?

You can find the GCD of 87, 725, 589, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.