GCD of 96, 256, 686, 749 Calculator

Given Input numbers are 96, 256, 686, 749

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 96, 256, 686, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 256, 686, 749 is 1.

Therefore, GCD of numbers 96, 256, 686, 749 is 1

Given Input Data is 96, 256, 686, 749

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 749 is 7 x 107

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(96, 256) = 768

GCD(96, 256) = ( 96 x 256 ) / 768

GCD(96, 256) = 24576 / 768

GCD(96, 256) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 686

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

LCM(32, 686) = 10976

GCD(32, 686) = ( 32 x 686 ) / 10976

GCD(32, 686) = 21952 / 10976

GCD(32, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 96, 256, 686, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 423, 589, 417
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• GCD of 52, 111, 548, 166
• GCD of 50, 404, 873, 306
• GCD of 91, 592, 810, 866

1. What is the GCD of 96, 256, 686, 749?

GCD of 96, 256, 686, 749 is 1

2. Where do I get the detailed procedure to find GCD of 96, 256, 686, 749?

You can find a detailed procedure to find GCD of 96, 256, 686, 749 on our page.

3. How to find GCD of 96, 256, 686, 749 on a calculator?

You can find the GCD of 96, 256, 686, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.