GCD of 646, 398, 49, 760 Calculator

Given Input numbers are 646, 398, 49, 760

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 646, 398, 49, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 398, 49, 760 is 1.

Therefore, GCD of numbers 646, 398, 49, 760 is 1

Given Input Data is 646, 398, 49, 760

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 398 is 2 x 199

Prime Factorization of 49 is 7 x 7

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(646, 398) = 128554

GCD(646, 398) = ( 646 x 398 ) / 128554

GCD(646, 398) = 257108 / 128554

GCD(646, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 646, 398, 49, 760 is 1

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1. What is the GCD of 646, 398, 49, 760?

GCD of 646, 398, 49, 760 is 1

2. Where do I get the detailed procedure to find GCD of 646, 398, 49, 760?

You can find a detailed procedure to find GCD of 646, 398, 49, 760 on our page.

3. How to find GCD of 646, 398, 49, 760 on a calculator?

You can find the GCD of 646, 398, 49, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.