GCD of 46, 654, 491, 657 Calculator

Given Input numbers are 46, 654, 491, 657

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 654

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

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 46, 654, 491, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 654, 491, 657 is 1.

Therefore, GCD of numbers 46, 654, 491, 657 is 1

Given Input Data is 46, 654, 491, 657

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 491 is 491

Prime Factorization of 657 is 3 x 3 x 73

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, 654) = 15042

GCD(46, 654) = ( 46 x 654 ) / 15042

GCD(46, 654) = 30084 / 15042

GCD(46, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 46, 654, 491, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 912, 822, 140
• GCD of 38, 174, 154, 175
• GCD of 23, 146, 816, 759
• GCD of 50, 328, 238, 928
• GCD of 60, 608, 399, 752

1. What is the GCD of 46, 654, 491, 657?

GCD of 46, 654, 491, 657 is 1

2. Where do I get the detailed procedure to find GCD of 46, 654, 491, 657?

You can find a detailed procedure to find GCD of 46, 654, 491, 657 on our page.

3. How to find GCD of 46, 654, 491, 657 on a calculator?

You can find the GCD of 46, 654, 491, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.