GCD of 743, 998, 557, 795 Calculator

Given Input numbers are 743, 998, 557, 795

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 557

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

1, 557

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 743, 998, 557, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 998, 557, 795 is 1.

Therefore, GCD of numbers 743, 998, 557, 795 is 1

Given Input Data is 743, 998, 557, 795

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

Prime Factorization of 743 is 743

Prime Factorization of 998 is 2 x 499

Prime Factorization of 557 is 557

Prime Factorization of 795 is 3 x 5 x 53

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, 998) = 741514

GCD(743, 998) = ( 743 x 998 ) / 741514

GCD(743, 998) = 741514 / 741514

GCD(743, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 743, 998, 557, 795 is 1

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1. What is the GCD of 743, 998, 557, 795?

GCD of 743, 998, 557, 795 is 1

2. Where do I get the detailed procedure to find GCD of 743, 998, 557, 795?

You can find a detailed procedure to find GCD of 743, 998, 557, 795 on our page.

3. How to find GCD of 743, 998, 557, 795 on a calculator?

You can find the GCD of 743, 998, 557, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.