GCD of 743, 790, 217, 896 Calculator

Given Input numbers are 743, 790, 217, 896

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 743, 790, 217, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 790, 217, 896 is 1.

Therefore, GCD of numbers 743, 790, 217, 896 is 1

Given Input Data is 743, 790, 217, 896

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

Prime Factorization of 743 is 743

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 217 is 7 x 31

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 790) = 586970

GCD(743, 790) = ( 743 x 790 ) / 586970

GCD(743, 790) = 586970 / 586970

GCD(743, 790) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 743, 790, 217, 896 is 1

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1. What is the GCD of 743, 790, 217, 896?

GCD of 743, 790, 217, 896 is 1

2. Where do I get the detailed procedure to find GCD of 743, 790, 217, 896?

You can find a detailed procedure to find GCD of 743, 790, 217, 896 on our page.

3. How to find GCD of 743, 790, 217, 896 on a calculator?

You can find the GCD of 743, 790, 217, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.