GCD of 641, 998, 734, 369 Calculator

Given Input numbers are 641, 998, 734, 369

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

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 998

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

1, 2, 499, 998

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 641, 998, 734, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 641, 998, 734, 369 is 1.

Therefore, GCD of numbers 641, 998, 734, 369 is 1

Given Input Data is 641, 998, 734, 369

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

Prime Factorization of 641 is 641

Prime Factorization of 998 is 2 x 499

Prime Factorization of 734 is 2 x 367

Prime Factorization of 369 is 3 x 3 x 41

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(641, 998) = 639718

GCD(641, 998) = ( 641 x 998 ) / 639718

GCD(641, 998) = 639718 / 639718

GCD(641, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 641, 998, 734, 369 is 1

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1. What is the GCD of 641, 998, 734, 369?

GCD of 641, 998, 734, 369 is 1

2. Where do I get the detailed procedure to find GCD of 641, 998, 734, 369?

You can find a detailed procedure to find GCD of 641, 998, 734, 369 on our page.

3. How to find GCD of 641, 998, 734, 369 on a calculator?

You can find the GCD of 641, 998, 734, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.