GCD of 74, 644, 665, 988 Calculator

Given Input numbers are 74, 644, 665, 988

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 74, 644, 665, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 644, 665, 988 is 1.

Therefore, GCD of numbers 74, 644, 665, 988 is 1

Given Input Data is 74, 644, 665, 988

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 988 is 2 x 2 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(74, 644) = 23828

GCD(74, 644) = ( 74 x 644 ) / 23828

GCD(74, 644) = 47656 / 23828

GCD(74, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 74, 644, 665, 988 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 47, 828, 588, 844

1. What is the GCD of 74, 644, 665, 988?

GCD of 74, 644, 665, 988 is 1

2. Where do I get the detailed procedure to find GCD of 74, 644, 665, 988?

You can find a detailed procedure to find GCD of 74, 644, 665, 988 on our page.

3. How to find GCD of 74, 644, 665, 988 on a calculator?

You can find the GCD of 74, 644, 665, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.