GCD of 472, 485, 654, 105 Calculator

Given Input numbers are 472, 485, 654, 105

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 472, 485, 654, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 485, 654, 105 is 1.

Therefore, GCD of numbers 472, 485, 654, 105 is 1

Given Input Data is 472, 485, 654, 105

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 485 is 5 x 97

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 105 is 3 x 5 x 7

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(472, 485) = 228920

GCD(472, 485) = ( 472 x 485 ) / 228920

GCD(472, 485) = 228920 / 228920

GCD(472, 485) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 472, 485, 654, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 872, 177, 398
• GCD of 932, 717, 750, 940
• GCD of 890, 902, 290, 741
• GCD of 966, 639, 363, 860
• GCD of 215, 438, 546, 925

1. What is the GCD of 472, 485, 654, 105?

GCD of 472, 485, 654, 105 is 1

2. Where do I get the detailed procedure to find GCD of 472, 485, 654, 105?

You can find a detailed procedure to find GCD of 472, 485, 654, 105 on our page.

3. How to find GCD of 472, 485, 654, 105 on a calculator?

You can find the GCD of 472, 485, 654, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.