GCD of 991, 498, 835, 741 Calculator

Given Input numbers are 991, 498, 835, 741

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 991, 498, 835, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 498, 835, 741 is 1.

Therefore, GCD of numbers 991, 498, 835, 741 is 1

Given Input Data is 991, 498, 835, 741

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

Prime Factorization of 991 is 991

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 835 is 5 x 167

Prime Factorization of 741 is 3 x 13 x 19

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(991, 498) = 493518

GCD(991, 498) = ( 991 x 498 ) / 493518

GCD(991, 498) = 493518 / 493518

GCD(991, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 991, 498, 835, 741 is 1

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1. What is the GCD of 991, 498, 835, 741?

GCD of 991, 498, 835, 741 is 1

2. Where do I get the detailed procedure to find GCD of 991, 498, 835, 741?

You can find a detailed procedure to find GCD of 991, 498, 835, 741 on our page.

3. How to find GCD of 991, 498, 835, 741 on a calculator?

You can find the GCD of 991, 498, 835, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.