GCD of 747, 487, 401, 498 Calculator

Given Input numbers are 747, 487, 401, 498

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 747, 487, 401, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 487, 401, 498 is 1.

Therefore, GCD of numbers 747, 487, 401, 498 is 1

Given Input Data is 747, 487, 401, 498

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 487 is 487

Prime Factorization of 401 is 401

Prime Factorization of 498 is 2 x 3 x 83

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(747, 487) = 363789

GCD(747, 487) = ( 747 x 487 ) / 363789

GCD(747, 487) = 363789 / 363789

GCD(747, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 747, 487, 401, 498 is 1

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1. What is the GCD of 747, 487, 401, 498?

GCD of 747, 487, 401, 498 is 1

2. Where do I get the detailed procedure to find GCD of 747, 487, 401, 498?

You can find a detailed procedure to find GCD of 747, 487, 401, 498 on our page.

3. How to find GCD of 747, 487, 401, 498 on a calculator?

You can find the GCD of 747, 487, 401, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.