GCD of 85, 915, 998, 466 Calculator

Given Input numbers are 85, 915, 998, 466

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 85, 915, 998, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 915, 998, 466 is 1.

Therefore, GCD of numbers 85, 915, 998, 466 is 1

Given Input Data is 85, 915, 998, 466

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 998 is 2 x 499

Prime Factorization of 466 is 2 x 233

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(85, 915) = 15555

GCD(85, 915) = ( 85 x 915 ) / 15555

GCD(85, 915) = 77775 / 15555

GCD(85, 915) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 998

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

LCM(5, 998) = 4990

GCD(5, 998) = ( 5 x 998 ) / 4990

GCD(5, 998) = 4990 / 4990

GCD(5, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 85, 915, 998, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 317, 884, 825
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• GCD of 40, 469, 173, 976
• GCD of 90, 253, 802, 872
• GCD of 63, 789, 112, 124

1. What is the GCD of 85, 915, 998, 466?

GCD of 85, 915, 998, 466 is 1

2. Where do I get the detailed procedure to find GCD of 85, 915, 998, 466?

You can find a detailed procedure to find GCD of 85, 915, 998, 466 on our page.

3. How to find GCD of 85, 915, 998, 466 on a calculator?

You can find the GCD of 85, 915, 998, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.