GCD of 46, 634, 461, 654 Calculator

Given Input numbers are 46, 634, 461, 654

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 634

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

1, 2, 317, 634

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 46, 634, 461, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 634, 461, 654 is 1.

Therefore, GCD of numbers 46, 634, 461, 654 is 1

Given Input Data is 46, 634, 461, 654

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 634 is 2 x 317

Prime Factorization of 461 is 461

Prime Factorization of 654 is 2 x 3 x 109

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(46, 634) = 14582

GCD(46, 634) = ( 46 x 634 ) / 14582

GCD(46, 634) = 29164 / 14582

GCD(46, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 46, 634, 461, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 891, 170, 245
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• GCD of 14, 975, 893, 701

1. What is the GCD of 46, 634, 461, 654?

GCD of 46, 634, 461, 654 is 1

2. Where do I get the detailed procedure to find GCD of 46, 634, 461, 654?

You can find a detailed procedure to find GCD of 46, 634, 461, 654 on our page.

3. How to find GCD of 46, 634, 461, 654 on a calculator?

You can find the GCD of 46, 634, 461, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.