GCD of 296, 688, 63, 784 Calculator

Given Input numbers are 296, 688, 63, 784

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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 296, 688, 63, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 688, 63, 784 is 1.

Therefore, GCD of numbers 296, 688, 63, 784 is 1

Given Input Data is 296, 688, 63, 784

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 63 is 3 x 3 x 7

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(296, 688) = 25456

GCD(296, 688) = ( 296 x 688 ) / 25456

GCD(296, 688) = 203648 / 25456

GCD(296, 688) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 63

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

LCM(8, 63) = 504

GCD(8, 63) = ( 8 x 63 ) / 504

GCD(8, 63) = 504 / 504

GCD(8, 63) = 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 296, 688, 63, 784 is 1

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1. What is the GCD of 296, 688, 63, 784?

GCD of 296, 688, 63, 784 is 1

2. Where do I get the detailed procedure to find GCD of 296, 688, 63, 784?

You can find a detailed procedure to find GCD of 296, 688, 63, 784 on our page.

3. How to find GCD of 296, 688, 63, 784 on a calculator?

You can find the GCD of 296, 688, 63, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.