GCD of 749, 321, 24, 141 Calculator

Given Input numbers are 749, 321, 24, 141

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 141

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

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 749, 321, 24, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 321, 24, 141 is 1.

Therefore, GCD of numbers 749, 321, 24, 141 is 1

Given Input Data is 749, 321, 24, 141

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 321 is 3 x 107

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 141 is 3 x 47

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(749, 321) = 2247

GCD(749, 321) = ( 749 x 321 ) / 2247

GCD(749, 321) = 240429 / 2247

GCD(749, 321) = 107

Step2:

Here we consider the GCD from the above i.e. 107 as first number and the next as 24

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

LCM(107, 24) = 2568

GCD(107, 24) = ( 107 x 24 ) / 2568

GCD(107, 24) = 2568 / 2568

GCD(107, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 749, 321, 24, 141 is 1

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• GCD of 859, 558, 32, 483
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• GCD of 914, 547, 18, 276

1. What is the GCD of 749, 321, 24, 141?

GCD of 749, 321, 24, 141 is 1

2. Where do I get the detailed procedure to find GCD of 749, 321, 24, 141?

You can find a detailed procedure to find GCD of 749, 321, 24, 141 on our page.

3. How to find GCD of 749, 321, 24, 141 on a calculator?

You can find the GCD of 749, 321, 24, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.