GCD of 141, 144, 454, 676 Calculator

Given Input numbers are 141, 144, 454, 676

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

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 454

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

1, 2, 227, 454

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

Greatest Common Divisior

We found the divisors of 141, 144, 454, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 144, 454, 676 is 1.

Therefore, GCD of numbers 141, 144, 454, 676 is 1

Given Input Data is 141, 144, 454, 676

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 454 is 2 x 227

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

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(141, 144) = 6768

GCD(141, 144) = ( 141 x 144 ) / 6768

GCD(141, 144) = 20304 / 6768

GCD(141, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 454

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

LCM(3, 454) = 1362

GCD(3, 454) = ( 3 x 454 ) / 1362

GCD(3, 454) = 1362 / 1362

GCD(3, 454) = 1

Step3:

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

GCD of 141, 144, 454, 676 is 1

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1. What is the GCD of 141, 144, 454, 676?

GCD of 141, 144, 454, 676 is 1

2. Where do I get the detailed procedure to find GCD of 141, 144, 454, 676?

You can find a detailed procedure to find GCD of 141, 144, 454, 676 on our page.

3. How to find GCD of 141, 144, 454, 676 on a calculator?

You can find the GCD of 141, 144, 454, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.