GCD of 853, 546, 89, 313 Calculator

Given Input numbers are 853, 546, 89, 313

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 853, 546, 89, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 546, 89, 313 is 1.

Therefore, GCD of numbers 853, 546, 89, 313 is 1

Given Input Data is 853, 546, 89, 313

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

Prime Factorization of 853 is 853

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 89 is 89

Prime Factorization of 313 is 313

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(853, 546) = 465738

GCD(853, 546) = ( 853 x 546 ) / 465738

GCD(853, 546) = 465738 / 465738

GCD(853, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 853, 546, 89, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 702, 79, 763
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• GCD of 434, 204, 94, 935
• GCD of 644, 838, 92, 872
• GCD of 673, 605, 77, 190

1. What is the GCD of 853, 546, 89, 313?

GCD of 853, 546, 89, 313 is 1

2. Where do I get the detailed procedure to find GCD of 853, 546, 89, 313?

You can find a detailed procedure to find GCD of 853, 546, 89, 313 on our page.

3. How to find GCD of 853, 546, 89, 313 on a calculator?

You can find the GCD of 853, 546, 89, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.