GCD of 676, 532, 886, 861 Calculator

Given Input numbers are 676, 532, 886, 861

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 861

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

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

Greatest Common Divisior

We found the divisors of 676, 532, 886, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 532, 886, 861 is 1.

Therefore, GCD of numbers 676, 532, 886, 861 is 1

Given Input Data is 676, 532, 886, 861

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 886 is 2 x 443

Prime Factorization of 861 is 3 x 7 x 41

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(676, 532) = 89908

GCD(676, 532) = ( 676 x 532 ) / 89908

GCD(676, 532) = 359632 / 89908

GCD(676, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

GCD of 676, 532, 886, 861 is 1

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1. What is the GCD of 676, 532, 886, 861?

GCD of 676, 532, 886, 861 is 1

2. Where do I get the detailed procedure to find GCD of 676, 532, 886, 861?

You can find a detailed procedure to find GCD of 676, 532, 886, 861 on our page.

3. How to find GCD of 676, 532, 886, 861 on a calculator?

You can find the GCD of 676, 532, 886, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.