GCD of 144, 769, 21, 674 Calculator

Given Input numbers are 144, 769, 21, 674

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

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 144, 769, 21, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 769, 21, 674 is 1.

Therefore, GCD of numbers 144, 769, 21, 674 is 1

Given Input Data is 144, 769, 21, 674

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

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

Prime Factorization of 769 is 769

Prime Factorization of 21 is 3 x 7

Prime Factorization of 674 is 2 x 337

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(144, 769) = 110736

GCD(144, 769) = ( 144 x 769 ) / 110736

GCD(144, 769) = 110736 / 110736

GCD(144, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 144, 769, 21, 674 is 1

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• GCD of 218, 292, 58, 721
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1. What is the GCD of 144, 769, 21, 674?

GCD of 144, 769, 21, 674 is 1

2. Where do I get the detailed procedure to find GCD of 144, 769, 21, 674?

You can find a detailed procedure to find GCD of 144, 769, 21, 674 on our page.

3. How to find GCD of 144, 769, 21, 674 on a calculator?

You can find the GCD of 144, 769, 21, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.