GCD of 87, 162, 269, 908 Calculator

Given Input numbers are 87, 162, 269, 908

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 87, 162, 269, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 162, 269, 908 is 1.

Therefore, GCD of numbers 87, 162, 269, 908 is 1

Given Input Data is 87, 162, 269, 908

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 269 is 269

Prime Factorization of 908 is 2 x 2 x 227

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, 162) = 4698

GCD(87, 162) = ( 87 x 162 ) / 4698

GCD(87, 162) = 14094 / 4698

GCD(87, 162) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 269

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

LCM(3, 269) = 807

GCD(3, 269) = ( 3 x 269 ) / 807

GCD(3, 269) = 807 / 807

GCD(3, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 87, 162, 269, 908 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 858, 883, 945
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• GCD of 98, 807, 634, 946

1. What is the GCD of 87, 162, 269, 908?

GCD of 87, 162, 269, 908 is 1

2. Where do I get the detailed procedure to find GCD of 87, 162, 269, 908?

You can find a detailed procedure to find GCD of 87, 162, 269, 908 on our page.

3. How to find GCD of 87, 162, 269, 908 on a calculator?

You can find the GCD of 87, 162, 269, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.