GCD of 253, 739, 34, 760 Calculator

Given Input numbers are 253, 739, 34, 760

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 253, 739, 34, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 739, 34, 760 is 1.

Therefore, GCD of numbers 253, 739, 34, 760 is 1

Given Input Data is 253, 739, 34, 760

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 739 is 739

Prime Factorization of 34 is 2 x 17

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(253, 739) = 186967

GCD(253, 739) = ( 253 x 739 ) / 186967

GCD(253, 739) = 186967 / 186967

GCD(253, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 253, 739, 34, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 551, 16, 640
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• GCD of 511, 565, 60, 613

1. What is the GCD of 253, 739, 34, 760?

GCD of 253, 739, 34, 760 is 1

2. Where do I get the detailed procedure to find GCD of 253, 739, 34, 760?

You can find a detailed procedure to find GCD of 253, 739, 34, 760 on our page.

3. How to find GCD of 253, 739, 34, 760 on a calculator?

You can find the GCD of 253, 739, 34, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.