GCD of 654, 830, 632, 475 Calculator

Given Input numbers are 654, 830, 632, 475

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

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 654, 830, 632, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 830, 632, 475 is 1.

Therefore, GCD of numbers 654, 830, 632, 475 is 1

Given Input Data is 654, 830, 632, 475

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 475 is 5 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(654, 830) = 271410

GCD(654, 830) = ( 654 x 830 ) / 271410

GCD(654, 830) = 542820 / 271410

GCD(654, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

GCD of 654, 830, 632, 475 is 1

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1. What is the GCD of 654, 830, 632, 475?

GCD of 654, 830, 632, 475 is 1

2. Where do I get the detailed procedure to find GCD of 654, 830, 632, 475?

You can find a detailed procedure to find GCD of 654, 830, 632, 475 on our page.

3. How to find GCD of 654, 830, 632, 475 on a calculator?

You can find the GCD of 654, 830, 632, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.