GCD of 74, 675, 662, 998 Calculator

Given Input numbers are 74, 675, 662, 998

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 74, 675, 662, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 675, 662, 998 is 1.

Therefore, GCD of numbers 74, 675, 662, 998 is 1

Given Input Data is 74, 675, 662, 998

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 662 is 2 x 331

Prime Factorization of 998 is 2 x 499

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(74, 675) = 49950

GCD(74, 675) = ( 74 x 675 ) / 49950

GCD(74, 675) = 49950 / 49950

GCD(74, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 74, 675, 662, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 868, 970, 287
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• GCD of 63, 678, 192, 404

1. What is the GCD of 74, 675, 662, 998?

GCD of 74, 675, 662, 998 is 1

2. Where do I get the detailed procedure to find GCD of 74, 675, 662, 998?

You can find a detailed procedure to find GCD of 74, 675, 662, 998 on our page.

3. How to find GCD of 74, 675, 662, 998 on a calculator?

You can find the GCD of 74, 675, 662, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.