GCD of 704, 752, 269, 134 Calculator

Given Input numbers are 704, 752, 269, 134

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 134

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

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 704, 752, 269, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 752, 269, 134 is 1.

Therefore, GCD of numbers 704, 752, 269, 134 is 1

Given Input Data is 704, 752, 269, 134

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 269 is 269

Prime Factorization of 134 is 2 x 67

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, 752) = 33088

GCD(704, 752) = ( 704 x 752 ) / 33088

GCD(704, 752) = 529408 / 33088

GCD(704, 752) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 269

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

LCM(16, 269) = 4304

GCD(16, 269) = ( 16 x 269 ) / 4304

GCD(16, 269) = 4304 / 4304

GCD(16, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 704, 752, 269, 134 is 1

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1. What is the GCD of 704, 752, 269, 134?

GCD of 704, 752, 269, 134 is 1

2. Where do I get the detailed procedure to find GCD of 704, 752, 269, 134?

You can find a detailed procedure to find GCD of 704, 752, 269, 134 on our page.

3. How to find GCD of 704, 752, 269, 134 on a calculator?

You can find the GCD of 704, 752, 269, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.