GCD of 86, 125, 269, 822 Calculator

Given Input numbers are 86, 125, 269, 822

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 86, 125, 269, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 125, 269, 822 is 1.

Therefore, GCD of numbers 86, 125, 269, 822 is 1

Given Input Data is 86, 125, 269, 822

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 269 is 269

Prime Factorization of 822 is 2 x 3 x 137

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, 125) = 10750

GCD(86, 125) = ( 86 x 125 ) / 10750

GCD(86, 125) = 10750 / 10750

GCD(86, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 86, 125, 269, 822 is 1

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• GCD of 59, 841, 818, 493
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1. What is the GCD of 86, 125, 269, 822?

GCD of 86, 125, 269, 822 is 1

2. Where do I get the detailed procedure to find GCD of 86, 125, 269, 822?

You can find a detailed procedure to find GCD of 86, 125, 269, 822 on our page.

3. How to find GCD of 86, 125, 269, 822 on a calculator?

You can find the GCD of 86, 125, 269, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.