GCD of 451, 298, 747, 698 Calculator

Given Input numbers are 451, 298, 747, 698

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

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 747

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

1, 3, 9, 83, 249, 747

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 451, 298, 747, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 298, 747, 698 is 1.

Therefore, GCD of numbers 451, 298, 747, 698 is 1

Given Input Data is 451, 298, 747, 698

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

Prime Factorization of 451 is 11 x 41

Prime Factorization of 298 is 2 x 149

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 698 is 2 x 349

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(451, 298) = 134398

GCD(451, 298) = ( 451 x 298 ) / 134398

GCD(451, 298) = 134398 / 134398

GCD(451, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 451, 298, 747, 698 is 1

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1. What is the GCD of 451, 298, 747, 698?

GCD of 451, 298, 747, 698 is 1

2. Where do I get the detailed procedure to find GCD of 451, 298, 747, 698?

You can find a detailed procedure to find GCD of 451, 298, 747, 698 on our page.

3. How to find GCD of 451, 298, 747, 698 on a calculator?

You can find the GCD of 451, 298, 747, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.