GCD of 848, 221, 574, 268 Calculator

Given Input numbers are 848, 221, 574, 268

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 848, 221, 574, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 221, 574, 268 is 1.

Therefore, GCD of numbers 848, 221, 574, 268 is 1

Given Input Data is 848, 221, 574, 268

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 221 is 13 x 17

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 268 is 2 x 2 x 67

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(848, 221) = 187408

GCD(848, 221) = ( 848 x 221 ) / 187408

GCD(848, 221) = 187408 / 187408

GCD(848, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 848, 221, 574, 268 is 1

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1. What is the GCD of 848, 221, 574, 268?

GCD of 848, 221, 574, 268 is 1

2. Where do I get the detailed procedure to find GCD of 848, 221, 574, 268?

You can find a detailed procedure to find GCD of 848, 221, 574, 268 on our page.

3. How to find GCD of 848, 221, 574, 268 on a calculator?

You can find the GCD of 848, 221, 574, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.