GCD of 860, 842, 90, 982 Calculator

Given Input numbers are 860, 842, 90, 982

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 860, 842, 90, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 842, 90, 982 is 2.

Therefore, GCD of numbers 860, 842, 90, 982 is 2

Given Input Data is 860, 842, 90, 982

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 842 is 2 x 421

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 982 is 2 x 491

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(860, 842) = 362060

GCD(860, 842) = ( 860 x 842 ) / 362060

GCD(860, 842) = 724120 / 362060

GCD(860, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 860, 842, 90, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 264, 14, 424
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• GCD of 820, 378, 34, 858
• GCD of 716, 867, 11, 289
• GCD of 544, 403, 92, 125

1. What is the GCD of 860, 842, 90, 982?

GCD of 860, 842, 90, 982 is 2

2. Where do I get the detailed procedure to find GCD of 860, 842, 90, 982?

You can find a detailed procedure to find GCD of 860, 842, 90, 982 on our page.

3. How to find GCD of 860, 842, 90, 982 on a calculator?

You can find the GCD of 860, 842, 90, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.