GCD of 857, 269, 982, 896 Calculator

Given Input numbers are 857, 269, 982, 896

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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 857, 269, 982, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 269, 982, 896 is 1.

Therefore, GCD of numbers 857, 269, 982, 896 is 1

Given Input Data is 857, 269, 982, 896

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

Prime Factorization of 857 is 857

Prime Factorization of 269 is 269

Prime Factorization of 982 is 2 x 491

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(857, 269) = 230533

GCD(857, 269) = ( 857 x 269 ) / 230533

GCD(857, 269) = 230533 / 230533

GCD(857, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 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 857, 269, 982, 896 is 1

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1. What is the GCD of 857, 269, 982, 896?

GCD of 857, 269, 982, 896 is 1

2. Where do I get the detailed procedure to find GCD of 857, 269, 982, 896?

You can find a detailed procedure to find GCD of 857, 269, 982, 896 on our page.

3. How to find GCD of 857, 269, 982, 896 on a calculator?

You can find the GCD of 857, 269, 982, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.