GCD of 743, 123, 49, 456 Calculator

Given Input numbers are 743, 123, 49, 456

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 743, 123, 49, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 123, 49, 456 is 1.

Therefore, GCD of numbers 743, 123, 49, 456 is 1

Given Input Data is 743, 123, 49, 456

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

Prime Factorization of 743 is 743

Prime Factorization of 123 is 3 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 123) = 91389

GCD(743, 123) = ( 743 x 123 ) / 91389

GCD(743, 123) = 91389 / 91389

GCD(743, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 743, 123, 49, 456 is 1

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1. What is the GCD of 743, 123, 49, 456?

GCD of 743, 123, 49, 456 is 1

2. Where do I get the detailed procedure to find GCD of 743, 123, 49, 456?

You can find a detailed procedure to find GCD of 743, 123, 49, 456 on our page.

3. How to find GCD of 743, 123, 49, 456 on a calculator?

You can find the GCD of 743, 123, 49, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.