GCD of 753, 557, 343, 421 Calculator

Given Input numbers are 753, 557, 343, 421

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 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 343

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

1, 7, 49, 343

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 753, 557, 343, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 557, 343, 421 is 1.

Therefore, GCD of numbers 753, 557, 343, 421 is 1

Given Input Data is 753, 557, 343, 421

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 557 is 557

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 421 is 421

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, 557) = 419421

GCD(753, 557) = ( 753 x 557 ) / 419421

GCD(753, 557) = 419421 / 419421

GCD(753, 557) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 753, 557, 343, 421 is 1

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1. What is the GCD of 753, 557, 343, 421?

GCD of 753, 557, 343, 421 is 1

2. Where do I get the detailed procedure to find GCD of 753, 557, 343, 421?

You can find a detailed procedure to find GCD of 753, 557, 343, 421 on our page.

3. How to find GCD of 753, 557, 343, 421 on a calculator?

You can find the GCD of 753, 557, 343, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.