GCD of 86, 134, 360, 923 Calculator

Given Input numbers are 86, 134, 360, 923

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 86, 134, 360, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 134, 360, 923 is 1.

Therefore, GCD of numbers 86, 134, 360, 923 is 1

Given Input Data is 86, 134, 360, 923

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 134 is 2 x 67

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 923 is 13 x 71

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(86, 134) = 5762

GCD(86, 134) = ( 86 x 134 ) / 5762

GCD(86, 134) = 11524 / 5762

GCD(86, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

GCD of 86, 134, 360, 923 is 1

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• GCD of 13, 567, 891, 977
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• GCD of 29, 307, 352, 545

1. What is the GCD of 86, 134, 360, 923?

GCD of 86, 134, 360, 923 is 1

2. Where do I get the detailed procedure to find GCD of 86, 134, 360, 923?

You can find a detailed procedure to find GCD of 86, 134, 360, 923 on our page.

3. How to find GCD of 86, 134, 360, 923 on a calculator?

You can find the GCD of 86, 134, 360, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.