GCD of 474, 677, 21, 276 Calculator

Given Input numbers are 474, 677, 21, 276

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 677

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

1, 677

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 474, 677, 21, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 677, 21, 276 is 1.

Therefore, GCD of numbers 474, 677, 21, 276 is 1

Given Input Data is 474, 677, 21, 276

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 677 is 677

Prime Factorization of 21 is 3 x 7

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(474, 677) = 320898

GCD(474, 677) = ( 474 x 677 ) / 320898

GCD(474, 677) = 320898 / 320898

GCD(474, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 474, 677, 21, 276 is 1

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1. What is the GCD of 474, 677, 21, 276?

GCD of 474, 677, 21, 276 is 1

2. Where do I get the detailed procedure to find GCD of 474, 677, 21, 276?

You can find a detailed procedure to find GCD of 474, 677, 21, 276 on our page.

3. How to find GCD of 474, 677, 21, 276 on a calculator?

You can find the GCD of 474, 677, 21, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.