GCD of 896, 977, 82, 914 Calculator

Given Input numbers are 896, 977, 82, 914

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

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 896, 977, 82, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 977, 82, 914 is 1.

Therefore, GCD of numbers 896, 977, 82, 914 is 1

Given Input Data is 896, 977, 82, 914

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

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

Prime Factorization of 977 is 977

Prime Factorization of 82 is 2 x 41

Prime Factorization of 914 is 2 x 457

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(896, 977) = 875392

GCD(896, 977) = ( 896 x 977 ) / 875392

GCD(896, 977) = 875392 / 875392

GCD(896, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 896, 977, 82, 914 is 1

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• GCD of 766, 966, 16, 965
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• GCD of 925, 796, 28, 809

1. What is the GCD of 896, 977, 82, 914?

GCD of 896, 977, 82, 914 is 1

2. Where do I get the detailed procedure to find GCD of 896, 977, 82, 914?

You can find a detailed procedure to find GCD of 896, 977, 82, 914 on our page.

3. How to find GCD of 896, 977, 82, 914 on a calculator?

You can find the GCD of 896, 977, 82, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.