GCD of 220, 922, 503, 105 Calculator

Given Input numbers are 220, 922, 503, 105

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

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

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 220, 922, 503, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 922, 503, 105 is 1.

Therefore, GCD of numbers 220, 922, 503, 105 is 1

Given Input Data is 220, 922, 503, 105

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

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 503 is 503

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(220, 922) = 101420

GCD(220, 922) = ( 220 x 922 ) / 101420

GCD(220, 922) = 202840 / 101420

GCD(220, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 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 220, 922, 503, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 714, 995, 671
• GCD of 496, 195, 959, 913
• GCD of 672, 794, 722, 246
• GCD of 354, 405, 626, 508
• GCD of 873, 811, 822, 791

1. What is the GCD of 220, 922, 503, 105?

GCD of 220, 922, 503, 105 is 1

2. Where do I get the detailed procedure to find GCD of 220, 922, 503, 105?

You can find a detailed procedure to find GCD of 220, 922, 503, 105 on our page.

3. How to find GCD of 220, 922, 503, 105 on a calculator?

You can find the GCD of 220, 922, 503, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.