GCD of 861, 312, 653, 601 Calculator

Given Input numbers are 861, 312, 653, 601

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 861, 312, 653, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 312, 653, 601 is 1.

Therefore, GCD of numbers 861, 312, 653, 601 is 1

Given Input Data is 861, 312, 653, 601

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 653 is 653

Prime Factorization of 601 is 601

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(861, 312) = 89544

GCD(861, 312) = ( 861 x 312 ) / 89544

GCD(861, 312) = 268632 / 89544

GCD(861, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 653

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

LCM(3, 653) = 1959

GCD(3, 653) = ( 3 x 653 ) / 1959

GCD(3, 653) = 1959 / 1959

GCD(3, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 861, 312, 653, 601 is 1

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• GCD of 302, 418, 531, 555
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• GCD of 599, 259, 190, 567

1. What is the GCD of 861, 312, 653, 601?

GCD of 861, 312, 653, 601 is 1

2. Where do I get the detailed procedure to find GCD of 861, 312, 653, 601?

You can find a detailed procedure to find GCD of 861, 312, 653, 601 on our page.

3. How to find GCD of 861, 312, 653, 601 on a calculator?

You can find the GCD of 861, 312, 653, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.