GCD of 634, 768, 54, 761 Calculator

Given Input numbers are 634, 768, 54, 761

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 634, 768, 54, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 768, 54, 761 is 1.

Therefore, GCD of numbers 634, 768, 54, 761 is 1

Given Input Data is 634, 768, 54, 761

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 761 is 761

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(634, 768) = 243456

GCD(634, 768) = ( 634 x 768 ) / 243456

GCD(634, 768) = 486912 / 243456

GCD(634, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

GCD of 634, 768, 54, 761 is 1

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1. What is the GCD of 634, 768, 54, 761?

GCD of 634, 768, 54, 761 is 1

2. Where do I get the detailed procedure to find GCD of 634, 768, 54, 761?

You can find a detailed procedure to find GCD of 634, 768, 54, 761 on our page.

3. How to find GCD of 634, 768, 54, 761 on a calculator?

You can find the GCD of 634, 768, 54, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.