GCD of 753, 899, 97, 343 Calculator

Given Input numbers are 753, 899, 97, 343

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 753, 899, 97, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 899, 97, 343 is 1.

Therefore, GCD of numbers 753, 899, 97, 343 is 1

Given Input Data is 753, 899, 97, 343

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 899 is 29 x 31

Prime Factorization of 97 is 97

Prime Factorization of 343 is 7 x 7 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(753, 899) = 676947

GCD(753, 899) = ( 753 x 899 ) / 676947

GCD(753, 899) = 676947 / 676947

GCD(753, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 753, 899, 97, 343 is 1

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1. What is the GCD of 753, 899, 97, 343?

GCD of 753, 899, 97, 343 is 1

2. Where do I get the detailed procedure to find GCD of 753, 899, 97, 343?

You can find a detailed procedure to find GCD of 753, 899, 97, 343 on our page.

3. How to find GCD of 753, 899, 97, 343 on a calculator?

You can find the GCD of 753, 899, 97, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.