GCD of 77, 224, 175, 571 Calculator

Given Input numbers are 77, 224, 175, 571

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 77, 224, 175, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 224, 175, 571 is 1.

Therefore, GCD of numbers 77, 224, 175, 571 is 1

Given Input Data is 77, 224, 175, 571

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 571 is 571

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(77, 224) = 2464

GCD(77, 224) = ( 77 x 224 ) / 2464

GCD(77, 224) = 17248 / 2464

GCD(77, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 175

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

LCM(7, 175) = 175

GCD(7, 175) = ( 7 x 175 ) / 175

GCD(7, 175) = 1225 / 175

GCD(7, 175) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 571

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

LCM(7, 571) = 3997

GCD(7, 571) = ( 7 x 571 ) / 3997

GCD(7, 571) = 3997 / 3997

GCD(7, 571) = 1

GCD of 77, 224, 175, 571 is 1

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1. What is the GCD of 77, 224, 175, 571?

GCD of 77, 224, 175, 571 is 1

2. Where do I get the detailed procedure to find GCD of 77, 224, 175, 571?

You can find a detailed procedure to find GCD of 77, 224, 175, 571 on our page.

3. How to find GCD of 77, 224, 175, 571 on a calculator?

You can find the GCD of 77, 224, 175, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.