GCD of 86, 42, 68, 61 Calculator

Given Input numbers are 86, 42, 68, 61

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 86, 42, 68, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 42, 68, 61 is 1.

Therefore, GCD of numbers 86, 42, 68, 61 is 1

Given Input Data is 86, 42, 68, 61

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 61 is 61

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, 42) = 1806

GCD(86, 42) = ( 86 x 42 ) / 1806

GCD(86, 42) = 3612 / 1806

GCD(86, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

GCD of 86, 42, 68, 61 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 84, 80, 89
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• GCD of 93, 99, 82, 91
• GCD of 26, 89, 31, 65
• GCD of 13, 19, 81, 24

1. What is the GCD of 86, 42, 68, 61?

GCD of 86, 42, 68, 61 is 1

2. Where do I get the detailed procedure to find GCD of 86, 42, 68, 61?

You can find a detailed procedure to find GCD of 86, 42, 68, 61 on our page.

3. How to find GCD of 86, 42, 68, 61 on a calculator?

You can find the GCD of 86, 42, 68, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.