GCD of 550, 775, 524, 277 Calculator

Given Input numbers are 550, 775, 524, 277

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 550, 775, 524, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 775, 524, 277 is 1.

Therefore, GCD of numbers 550, 775, 524, 277 is 1

Given Input Data is 550, 775, 524, 277

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 277 is 277

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(550, 775) = 17050

GCD(550, 775) = ( 550 x 775 ) / 17050

GCD(550, 775) = 426250 / 17050

GCD(550, 775) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 524

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

LCM(25, 524) = 13100

GCD(25, 524) = ( 25 x 524 ) / 13100

GCD(25, 524) = 13100 / 13100

GCD(25, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 550, 775, 524, 277 is 1

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1. What is the GCD of 550, 775, 524, 277?

GCD of 550, 775, 524, 277 is 1

2. Where do I get the detailed procedure to find GCD of 550, 775, 524, 277?

You can find a detailed procedure to find GCD of 550, 775, 524, 277 on our page.

3. How to find GCD of 550, 775, 524, 277 on a calculator?

You can find the GCD of 550, 775, 524, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.