GCD of 704, 134, 89, 901 Calculator

Given Input numbers are 704, 134, 89, 901

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 704, 134, 89, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 134, 89, 901 is 1.

Therefore, GCD of numbers 704, 134, 89, 901 is 1

Given Input Data is 704, 134, 89, 901

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 134 is 2 x 67

Prime Factorization of 89 is 89

Prime Factorization of 901 is 17 x 53

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, 134) = 47168

GCD(704, 134) = ( 704 x 134 ) / 47168

GCD(704, 134) = 94336 / 47168

GCD(704, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 704, 134, 89, 901 is 1

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1. What is the GCD of 704, 134, 89, 901?

GCD of 704, 134, 89, 901 is 1

2. Where do I get the detailed procedure to find GCD of 704, 134, 89, 901?

You can find a detailed procedure to find GCD of 704, 134, 89, 901 on our page.

3. How to find GCD of 704, 134, 89, 901 on a calculator?

You can find the GCD of 704, 134, 89, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.