GCD of 638, 505, 220, 154 Calculator

Given Input numbers are 638, 505, 220, 154

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 638, 505, 220, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 505, 220, 154 is 1.

Therefore, GCD of numbers 638, 505, 220, 154 is 1

Given Input Data is 638, 505, 220, 154

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 505 is 5 x 101

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 154 is 2 x 7 x 11

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(638, 505) = 322190

GCD(638, 505) = ( 638 x 505 ) / 322190

GCD(638, 505) = 322190 / 322190

GCD(638, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 638, 505, 220, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 146, 829, 809
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• GCD of 563, 742, 230, 104

1. What is the GCD of 638, 505, 220, 154?

GCD of 638, 505, 220, 154 is 1

2. Where do I get the detailed procedure to find GCD of 638, 505, 220, 154?

You can find a detailed procedure to find GCD of 638, 505, 220, 154 on our page.

3. How to find GCD of 638, 505, 220, 154 on a calculator?

You can find the GCD of 638, 505, 220, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.