GCD of 269, 240, 59, 916 Calculator

Given Input numbers are 269, 240, 59, 916

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 269, 240, 59, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 240, 59, 916 is 1.

Therefore, GCD of numbers 269, 240, 59, 916 is 1

Given Input Data is 269, 240, 59, 916

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

Prime Factorization of 269 is 269

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 59 is 59

Prime Factorization of 916 is 2 x 2 x 229

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, 240) = 64560

GCD(269, 240) = ( 269 x 240 ) / 64560

GCD(269, 240) = 64560 / 64560

GCD(269, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 269, 240, 59, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 597, 27, 751
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• GCD of 693, 476, 14, 761

1. What is the GCD of 269, 240, 59, 916?

GCD of 269, 240, 59, 916 is 1

2. Where do I get the detailed procedure to find GCD of 269, 240, 59, 916?

You can find a detailed procedure to find GCD of 269, 240, 59, 916 on our page.

3. How to find GCD of 269, 240, 59, 916 on a calculator?

You can find the GCD of 269, 240, 59, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.