GCD of 220, 504, 123, 677 Calculator

Given Input numbers are 220, 504, 123, 677

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 220, 504, 123, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 504, 123, 677 is 1.

Therefore, GCD of numbers 220, 504, 123, 677 is 1

Given Input Data is 220, 504, 123, 677

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 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 123 is 3 x 41

Prime Factorization of 677 is 677

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, 504) = 27720

GCD(220, 504) = ( 220 x 504 ) / 27720

GCD(220, 504) = 110880 / 27720

GCD(220, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 123

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

LCM(4, 123) = 492

GCD(4, 123) = ( 4 x 123 ) / 492

GCD(4, 123) = 492 / 492

GCD(4, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 220, 504, 123, 677 is 1

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1. What is the GCD of 220, 504, 123, 677?

GCD of 220, 504, 123, 677 is 1

2. Where do I get the detailed procedure to find GCD of 220, 504, 123, 677?

You can find a detailed procedure to find GCD of 220, 504, 123, 677 on our page.

3. How to find GCD of 220, 504, 123, 677 on a calculator?

You can find the GCD of 220, 504, 123, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.