GCD of 312, 354, 889, 896 Calculator

Given Input numbers are 312, 354, 889, 896

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 312, 354, 889, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 354, 889, 896 is 1.

Therefore, GCD of numbers 312, 354, 889, 896 is 1

Given Input Data is 312, 354, 889, 896

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 889 is 7 x 127

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(312, 354) = 18408

GCD(312, 354) = ( 312 x 354 ) / 18408

GCD(312, 354) = 110448 / 18408

GCD(312, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 889

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

LCM(6, 889) = 5334

GCD(6, 889) = ( 6 x 889 ) / 5334

GCD(6, 889) = 5334 / 5334

GCD(6, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 312, 354, 889, 896 is 1

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1. What is the GCD of 312, 354, 889, 896?

GCD of 312, 354, 889, 896 is 1

2. Where do I get the detailed procedure to find GCD of 312, 354, 889, 896?

You can find a detailed procedure to find GCD of 312, 354, 889, 896 on our page.

3. How to find GCD of 312, 354, 889, 896 on a calculator?

You can find the GCD of 312, 354, 889, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.