GCD of 269, 544, 65, 701 Calculator

Given Input numbers are 269, 544, 65, 701

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

Divisors of 269

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

1, 269

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 269, 544, 65, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 544, 65, 701 is 1.

Therefore, GCD of numbers 269, 544, 65, 701 is 1

Given Input Data is 269, 544, 65, 701

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

Prime Factorization of 269 is 269

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 65 is 5 x 13

Prime Factorization of 701 is 701

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(269, 544) = 146336

GCD(269, 544) = ( 269 x 544 ) / 146336

GCD(269, 544) = 146336 / 146336

GCD(269, 544) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 269, 544, 65, 701 is 1

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1. What is the GCD of 269, 544, 65, 701?

GCD of 269, 544, 65, 701 is 1

2. Where do I get the detailed procedure to find GCD of 269, 544, 65, 701?

You can find a detailed procedure to find GCD of 269, 544, 65, 701 on our page.

3. How to find GCD of 269, 544, 65, 701 on a calculator?

You can find the GCD of 269, 544, 65, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.