GCD of 734, 584, 35, 268 Calculator

Given Input numbers are 734, 584, 35, 268

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 734, 584, 35, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 584, 35, 268 is 1.

Therefore, GCD of numbers 734, 584, 35, 268 is 1

Given Input Data is 734, 584, 35, 268

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 35 is 5 x 7

Prime Factorization of 268 is 2 x 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(734, 584) = 214328

GCD(734, 584) = ( 734 x 584 ) / 214328

GCD(734, 584) = 428656 / 214328

GCD(734, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 734, 584, 35, 268 is 1

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1. What is the GCD of 734, 584, 35, 268?

GCD of 734, 584, 35, 268 is 1

2. Where do I get the detailed procedure to find GCD of 734, 584, 35, 268?

You can find a detailed procedure to find GCD of 734, 584, 35, 268 on our page.

3. How to find GCD of 734, 584, 35, 268 on a calculator?

You can find the GCD of 734, 584, 35, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.