GCD of 231, 880, 277, 356 Calculator

Given Input numbers are 231, 880, 277, 356

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 231, 880, 277, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 880, 277, 356 is 1.

Therefore, GCD of numbers 231, 880, 277, 356 is 1

Given Input Data is 231, 880, 277, 356

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 277 is 277

Prime Factorization of 356 is 2 x 2 x 89

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(231, 880) = 18480

GCD(231, 880) = ( 231 x 880 ) / 18480

GCD(231, 880) = 203280 / 18480

GCD(231, 880) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 277

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

LCM(11, 277) = 3047

GCD(11, 277) = ( 11 x 277 ) / 3047

GCD(11, 277) = 3047 / 3047

GCD(11, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 231, 880, 277, 356 is 1

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1. What is the GCD of 231, 880, 277, 356?

GCD of 231, 880, 277, 356 is 1

2. Where do I get the detailed procedure to find GCD of 231, 880, 277, 356?

You can find a detailed procedure to find GCD of 231, 880, 277, 356 on our page.

3. How to find GCD of 231, 880, 277, 356 on a calculator?

You can find the GCD of 231, 880, 277, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.