GCD of 914, 784, 827, 981 Calculator

Given Input numbers are 914, 784, 827, 981

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

Divisors of 914

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

1, 2, 457, 914

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 914, 784, 827, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 784, 827, 981 is 1.

Therefore, GCD of numbers 914, 784, 827, 981 is 1

Given Input Data is 914, 784, 827, 981

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 827 is 827

Prime Factorization of 981 is 3 x 3 x 109

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(914, 784) = 358288

GCD(914, 784) = ( 914 x 784 ) / 358288

GCD(914, 784) = 716576 / 358288

GCD(914, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 914, 784, 827, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 611, 857, 985
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• GCD of 367, 350, 147, 989
• GCD of 434, 947, 293, 107
• GCD of 699, 140, 506, 465

1. What is the GCD of 914, 784, 827, 981?

GCD of 914, 784, 827, 981 is 1

2. Where do I get the detailed procedure to find GCD of 914, 784, 827, 981?

You can find a detailed procedure to find GCD of 914, 784, 827, 981 on our page.

3. How to find GCD of 914, 784, 827, 981 on a calculator?

You can find the GCD of 914, 784, 827, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.