GCD of 86, 982, 235, 142 Calculator

Given Input numbers are 86, 982, 235, 142

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 982

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

1, 2, 491, 982

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 86, 982, 235, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 982, 235, 142 is 1.

Therefore, GCD of numbers 86, 982, 235, 142 is 1

Given Input Data is 86, 982, 235, 142

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 982 is 2 x 491

Prime Factorization of 235 is 5 x 47

Prime Factorization of 142 is 2 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, 982) = 42226

GCD(86, 982) = ( 86 x 982 ) / 42226

GCD(86, 982) = 84452 / 42226

GCD(86, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 86, 982, 235, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 924, 897, 682
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• GCD of 12, 572, 128, 509
• GCD of 21, 563, 399, 682

1. What is the GCD of 86, 982, 235, 142?

GCD of 86, 982, 235, 142 is 1

2. Where do I get the detailed procedure to find GCD of 86, 982, 235, 142?

You can find a detailed procedure to find GCD of 86, 982, 235, 142 on our page.

3. How to find GCD of 86, 982, 235, 142 on a calculator?

You can find the GCD of 86, 982, 235, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.