GCD of 704, 102, 961, 182 Calculator

Given Input numbers are 704, 102, 961, 182

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 704, 102, 961, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 102, 961, 182 is 1.

Therefore, GCD of numbers 704, 102, 961, 182 is 1

Given Input Data is 704, 102, 961, 182

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 961 is 31 x 31

Prime Factorization of 182 is 2 x 7 x 13

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(704, 102) = 35904

GCD(704, 102) = ( 704 x 102 ) / 35904

GCD(704, 102) = 71808 / 35904

GCD(704, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 704, 102, 961, 182 is 1

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1. What is the GCD of 704, 102, 961, 182?

GCD of 704, 102, 961, 182 is 1

2. Where do I get the detailed procedure to find GCD of 704, 102, 961, 182?

You can find a detailed procedure to find GCD of 704, 102, 961, 182 on our page.

3. How to find GCD of 704, 102, 961, 182 on a calculator?

You can find the GCD of 704, 102, 961, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.