GCD of 274, 976, 806, 121 Calculator

Given Input numbers are 274, 976, 806, 121

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 274, 976, 806, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 976, 806, 121 is 1.

Therefore, GCD of numbers 274, 976, 806, 121 is 1

Given Input Data is 274, 976, 806, 121

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 121 is 11 x 11

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(274, 976) = 133712

GCD(274, 976) = ( 274 x 976 ) / 133712

GCD(274, 976) = 267424 / 133712

GCD(274, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 121

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

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

GCD(2, 121) = 242 / 242

GCD(2, 121) = 1

GCD of 274, 976, 806, 121 is 1

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• GCD of 751, 443, 927, 416
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1. What is the GCD of 274, 976, 806, 121?

GCD of 274, 976, 806, 121 is 1

2. Where do I get the detailed procedure to find GCD of 274, 976, 806, 121?

You can find a detailed procedure to find GCD of 274, 976, 806, 121 on our page.

3. How to find GCD of 274, 976, 806, 121 on a calculator?

You can find the GCD of 274, 976, 806, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.