GCD of 743, 561, 24, 134 Calculator

Given Input numbers are 743, 561, 24, 134

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 743, 561, 24, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 561, 24, 134 is 1.

Therefore, GCD of numbers 743, 561, 24, 134 is 1

Given Input Data is 743, 561, 24, 134

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

Prime Factorization of 743 is 743

Prime Factorization of 561 is 3 x 11 x 17

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

Prime Factorization of 134 is 2 x 67

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(743, 561) = 416823

GCD(743, 561) = ( 743 x 561 ) / 416823

GCD(743, 561) = 416823 / 416823

GCD(743, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 743, 561, 24, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 361, 34, 390
• GCD of 557, 249, 78, 258
• GCD of 961, 411, 65, 866
• GCD of 343, 373, 27, 975
• GCD of 214, 655, 47, 315

1. What is the GCD of 743, 561, 24, 134?

GCD of 743, 561, 24, 134 is 1

2. Where do I get the detailed procedure to find GCD of 743, 561, 24, 134?

You can find a detailed procedure to find GCD of 743, 561, 24, 134 on our page.

3. How to find GCD of 743, 561, 24, 134 on a calculator?

You can find the GCD of 743, 561, 24, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.