GCD of 118, 691, 20, 454 Calculator

Given Input numbers are 118, 691, 20, 454

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

Divisors of 118

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

1, 2, 59, 118

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 118, 691, 20, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 691, 20, 454 is 1.

Therefore, GCD of numbers 118, 691, 20, 454 is 1

Given Input Data is 118, 691, 20, 454

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 691 is 691

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 454 is 2 x 227

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(118, 691) = 81538

GCD(118, 691) = ( 118 x 691 ) / 81538

GCD(118, 691) = 81538 / 81538

GCD(118, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 118, 691, 20, 454 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 300, 17, 707
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• GCD of 573, 212, 50, 347

1. What is the GCD of 118, 691, 20, 454?

GCD of 118, 691, 20, 454 is 1

2. Where do I get the detailed procedure to find GCD of 118, 691, 20, 454?

You can find a detailed procedure to find GCD of 118, 691, 20, 454 on our page.

3. How to find GCD of 118, 691, 20, 454 on a calculator?

You can find the GCD of 118, 691, 20, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.