GCD of 883, 823, 748, 278 Calculator

Given Input numbers are 883, 823, 748, 278

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

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 883, 823, 748, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 883, 823, 748, 278 is 1.

Therefore, GCD of numbers 883, 823, 748, 278 is 1

Given Input Data is 883, 823, 748, 278

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

Prime Factorization of 883 is 883

Prime Factorization of 823 is 823

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 278 is 2 x 139

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(883, 823) = 726709

GCD(883, 823) = ( 883 x 823 ) / 726709

GCD(883, 823) = 726709 / 726709

GCD(883, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 883, 823, 748, 278 is 1

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1. What is the GCD of 883, 823, 748, 278?

GCD of 883, 823, 748, 278 is 1

2. Where do I get the detailed procedure to find GCD of 883, 823, 748, 278?

You can find a detailed procedure to find GCD of 883, 823, 748, 278 on our page.

3. How to find GCD of 883, 823, 748, 278 on a calculator?

You can find the GCD of 883, 823, 748, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.