GCD of 906, 160, 86, 584 Calculator

Given Input numbers are 906, 160, 86, 584

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 86

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

1, 2, 43, 86

Divisors of 584

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

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

Greatest Common Divisior

We found the divisors of 906, 160, 86, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 160, 86, 584 is 2.

Therefore, GCD of numbers 906, 160, 86, 584 is 2

Given Input Data is 906, 160, 86, 584

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 86 is 2 x 43

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(906, 160) = 72480

GCD(906, 160) = ( 906 x 160 ) / 72480

GCD(906, 160) = 144960 / 72480

GCD(906, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 906, 160, 86, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 277, 69, 422
• GCD of 190, 910, 68, 236
• GCD of 867, 164, 60, 750
• GCD of 848, 407, 83, 363
• GCD of 486, 516, 72, 316

1. What is the GCD of 906, 160, 86, 584?

GCD of 906, 160, 86, 584 is 2

2. Where do I get the detailed procedure to find GCD of 906, 160, 86, 584?

You can find a detailed procedure to find GCD of 906, 160, 86, 584 on our page.

3. How to find GCD of 906, 160, 86, 584 on a calculator?

You can find the GCD of 906, 160, 86, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.