GCD of 706, 121, 440, 784 Calculator

Given Input numbers are 706, 121, 440, 784

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

Greatest Common Divisior

We found the divisors of 706, 121, 440, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 121, 440, 784 is 1.

Therefore, GCD of numbers 706, 121, 440, 784 is 1

Given Input Data is 706, 121, 440, 784

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 121 is 11 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(706, 121) = 85426

GCD(706, 121) = ( 706 x 121 ) / 85426

GCD(706, 121) = 85426 / 85426

GCD(706, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 706, 121, 440, 784 is 1

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• GCD of 556, 456, 657, 789
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1. What is the GCD of 706, 121, 440, 784?

GCD of 706, 121, 440, 784 is 1

2. Where do I get the detailed procedure to find GCD of 706, 121, 440, 784?

You can find a detailed procedure to find GCD of 706, 121, 440, 784 on our page.

3. How to find GCD of 706, 121, 440, 784 on a calculator?

You can find the GCD of 706, 121, 440, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.