GCD of 51, 138, 919, 605 Calculator

Given Input numbers are 51, 138, 919, 605

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 51, 138, 919, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 138, 919, 605 is 1.

Therefore, GCD of numbers 51, 138, 919, 605 is 1

Given Input Data is 51, 138, 919, 605

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 919 is 919

Prime Factorization of 605 is 5 x 11 x 11

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(51, 138) = 2346

GCD(51, 138) = ( 51 x 138 ) / 2346

GCD(51, 138) = 7038 / 2346

GCD(51, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 919

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

LCM(3, 919) = 2757

GCD(3, 919) = ( 3 x 919 ) / 2757

GCD(3, 919) = 2757 / 2757

GCD(3, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 51, 138, 919, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 436, 804, 167
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• GCD of 93, 427, 695, 938
• GCD of 92, 578, 561, 734
• GCD of 71, 933, 594, 765

1. What is the GCD of 51, 138, 919, 605?

GCD of 51, 138, 919, 605 is 1

2. Where do I get the detailed procedure to find GCD of 51, 138, 919, 605?

You can find a detailed procedure to find GCD of 51, 138, 919, 605 on our page.

3. How to find GCD of 51, 138, 919, 605 on a calculator?

You can find the GCD of 51, 138, 919, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.