GCD of 974, 221, 79, 228 Calculator

Given Input numbers are 974, 221, 79, 228

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 221

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

1, 13, 17, 221

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 974, 221, 79, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 221, 79, 228 is 1.

Therefore, GCD of numbers 974, 221, 79, 228 is 1

Given Input Data is 974, 221, 79, 228

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 221 is 13 x 17

Prime Factorization of 79 is 79

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(974, 221) = 215254

GCD(974, 221) = ( 974 x 221 ) / 215254

GCD(974, 221) = 215254 / 215254

GCD(974, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 974, 221, 79, 228 is 1

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1. What is the GCD of 974, 221, 79, 228?

GCD of 974, 221, 79, 228 is 1

2. Where do I get the detailed procedure to find GCD of 974, 221, 79, 228?

You can find a detailed procedure to find GCD of 974, 221, 79, 228 on our page.

3. How to find GCD of 974, 221, 79, 228 on a calculator?

You can find the GCD of 974, 221, 79, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.