GCD of 89, 529, 676, 118 Calculator

Given Input numbers are 89, 529, 676, 118

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

Divisors of 89

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

1, 89

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 89, 529, 676, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 529, 676, 118 is 1.

Therefore, GCD of numbers 89, 529, 676, 118 is 1

Given Input Data is 89, 529, 676, 118

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

Prime Factorization of 89 is 89

Prime Factorization of 529 is 23 x 23

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

Prime Factorization of 118 is 2 x 59

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(89, 529) = 47081

GCD(89, 529) = ( 89 x 529 ) / 47081

GCD(89, 529) = 47081 / 47081

GCD(89, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 89, 529, 676, 118 is 1

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• GCD of 20, 192, 508, 470
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1. What is the GCD of 89, 529, 676, 118?

GCD of 89, 529, 676, 118 is 1

2. Where do I get the detailed procedure to find GCD of 89, 529, 676, 118?

You can find a detailed procedure to find GCD of 89, 529, 676, 118 on our page.

3. How to find GCD of 89, 529, 676, 118 on a calculator?

You can find the GCD of 89, 529, 676, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.