GCD of 249, 138, 85, 759 Calculator

Given Input numbers are 249, 138, 85, 759

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 249, 138, 85, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 138, 85, 759 is 1.

Therefore, GCD of numbers 249, 138, 85, 759 is 1

Given Input Data is 249, 138, 85, 759

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 85 is 5 x 17

Prime Factorization of 759 is 3 x 11 x 23

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(249, 138) = 11454

GCD(249, 138) = ( 249 x 138 ) / 11454

GCD(249, 138) = 34362 / 11454

GCD(249, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 249, 138, 85, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 400, 38, 617
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• GCD of 921, 279, 69, 574
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• GCD of 950, 550, 32, 313

1. What is the GCD of 249, 138, 85, 759?

GCD of 249, 138, 85, 759 is 1

2. Where do I get the detailed procedure to find GCD of 249, 138, 85, 759?

You can find a detailed procedure to find GCD of 249, 138, 85, 759 on our page.

3. How to find GCD of 249, 138, 85, 759 on a calculator?

You can find the GCD of 249, 138, 85, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.