GCD of 743, 343, 32, 891 Calculator

Given Input numbers are 743, 343, 32, 891

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 743, 343, 32, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 343, 32, 891 is 1.

Therefore, GCD of numbers 743, 343, 32, 891 is 1

Given Input Data is 743, 343, 32, 891

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

Prime Factorization of 743 is 743

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 343) = 254849

GCD(743, 343) = ( 743 x 343 ) / 254849

GCD(743, 343) = 254849 / 254849

GCD(743, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 743, 343, 32, 891 is 1

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1. What is the GCD of 743, 343, 32, 891?

GCD of 743, 343, 32, 891 is 1

2. Where do I get the detailed procedure to find GCD of 743, 343, 32, 891?

You can find a detailed procedure to find GCD of 743, 343, 32, 891 on our page.

3. How to find GCD of 743, 343, 32, 891 on a calculator?

You can find the GCD of 743, 343, 32, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.