GCD of 754, 264, 702, 235 Calculator

Given Input numbers are 754, 264, 702, 235

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 754, 264, 702, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 264, 702, 235 is 1.

Therefore, GCD of numbers 754, 264, 702, 235 is 1

Given Input Data is 754, 264, 702, 235

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 235 is 5 x 47

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(754, 264) = 99528

GCD(754, 264) = ( 754 x 264 ) / 99528

GCD(754, 264) = 199056 / 99528

GCD(754, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

GCD of 754, 264, 702, 235 is 1

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1. What is the GCD of 754, 264, 702, 235?

GCD of 754, 264, 702, 235 is 1

2. Where do I get the detailed procedure to find GCD of 754, 264, 702, 235?

You can find a detailed procedure to find GCD of 754, 264, 702, 235 on our page.

3. How to find GCD of 754, 264, 702, 235 on a calculator?

You can find the GCD of 754, 264, 702, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.