GCD of 743, 283, 448, 765 Calculator

Given Input numbers are 743, 283, 448, 765

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 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 743, 283, 448, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 283, 448, 765 is 1.

Therefore, GCD of numbers 743, 283, 448, 765 is 1

Given Input Data is 743, 283, 448, 765

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

Prime Factorization of 743 is 743

Prime Factorization of 283 is 283

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

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, 283) = 210269

GCD(743, 283) = ( 743 x 283 ) / 210269

GCD(743, 283) = 210269 / 210269

GCD(743, 283) = 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 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 743, 283, 448, 765 is 1

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• GCD of 156, 781, 676, 124
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1. What is the GCD of 743, 283, 448, 765?

GCD of 743, 283, 448, 765 is 1

2. Where do I get the detailed procedure to find GCD of 743, 283, 448, 765?

You can find a detailed procedure to find GCD of 743, 283, 448, 765 on our page.

3. How to find GCD of 743, 283, 448, 765 on a calculator?

You can find the GCD of 743, 283, 448, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.