GCD of 852, 311, 86, 557 Calculator

Given Input numbers are 852, 311, 86, 557

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 852, 311, 86, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 311, 86, 557 is 1.

Therefore, GCD of numbers 852, 311, 86, 557 is 1

Given Input Data is 852, 311, 86, 557

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 311 is 311

Prime Factorization of 86 is 2 x 43

Prime Factorization of 557 is 557

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(852, 311) = 264972

GCD(852, 311) = ( 852 x 311 ) / 264972

GCD(852, 311) = 264972 / 264972

GCD(852, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 852, 311, 86, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 577, 61, 578
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• GCD of 862, 829, 61, 467

1. What is the GCD of 852, 311, 86, 557?

GCD of 852, 311, 86, 557 is 1

2. Where do I get the detailed procedure to find GCD of 852, 311, 86, 557?

You can find a detailed procedure to find GCD of 852, 311, 86, 557 on our page.

3. How to find GCD of 852, 311, 86, 557 on a calculator?

You can find the GCD of 852, 311, 86, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.