GCD of 743, 120, 448, 524 Calculator

Given Input numbers are 743, 120, 448, 524

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 743, 120, 448, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 120, 448, 524 is 1.

Therefore, GCD of numbers 743, 120, 448, 524 is 1

Given Input Data is 743, 120, 448, 524

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

Prime Factorization of 743 is 743

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 524 is 2 x 2 x 131

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, 120) = 89160

GCD(743, 120) = ( 743 x 120 ) / 89160

GCD(743, 120) = 89160 / 89160

GCD(743, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 743, 120, 448, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 697, 206, 797
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• GCD of 660, 564, 678, 242

1. What is the GCD of 743, 120, 448, 524?

GCD of 743, 120, 448, 524 is 1

2. Where do I get the detailed procedure to find GCD of 743, 120, 448, 524?

You can find a detailed procedure to find GCD of 743, 120, 448, 524 on our page.

3. How to find GCD of 743, 120, 448, 524 on a calculator?

You can find the GCD of 743, 120, 448, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.