GCD of 220, 648, 976, 501 Calculator

Given Input numbers are 220, 648, 976, 501

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 220, 648, 976, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 648, 976, 501 is 1.

Therefore, GCD of numbers 220, 648, 976, 501 is 1

Given Input Data is 220, 648, 976, 501

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 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 501 is 3 x 167

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, 648) = 35640

GCD(220, 648) = ( 220 x 648 ) / 35640

GCD(220, 648) = 142560 / 35640

GCD(220, 648) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 976

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

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

GCD(4, 976) = 3904 / 976

GCD(4, 976) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 501

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

LCM(4, 501) = 2004

GCD(4, 501) = ( 4 x 501 ) / 2004

GCD(4, 501) = 2004 / 2004

GCD(4, 501) = 1

GCD of 220, 648, 976, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 540, 996, 857
• GCD of 485, 759, 361, 658
• GCD of 958, 735, 544, 495
• GCD of 474, 801, 626, 197
• GCD of 582, 790, 572, 860

1. What is the GCD of 220, 648, 976, 501?

GCD of 220, 648, 976, 501 is 1

2. Where do I get the detailed procedure to find GCD of 220, 648, 976, 501?

You can find a detailed procedure to find GCD of 220, 648, 976, 501 on our page.

3. How to find GCD of 220, 648, 976, 501 on a calculator?

You can find the GCD of 220, 648, 976, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.