GCD of 138, 754, 77, 589 Calculator

Given Input numbers are 138, 754, 77, 589

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

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 138, 754, 77, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 754, 77, 589 is 1.

Therefore, GCD of numbers 138, 754, 77, 589 is 1

Given Input Data is 138, 754, 77, 589

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 77 is 7 x 11

Prime Factorization of 589 is 19 x 31

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(138, 754) = 52026

GCD(138, 754) = ( 138 x 754 ) / 52026

GCD(138, 754) = 104052 / 52026

GCD(138, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 138, 754, 77, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 163, 65, 867
• GCD of 267, 211, 10, 547
• GCD of 213, 153, 12, 283
• GCD of 804, 213, 39, 697
• GCD of 214, 736, 42, 803

1. What is the GCD of 138, 754, 77, 589?

GCD of 138, 754, 77, 589 is 1

2. Where do I get the detailed procedure to find GCD of 138, 754, 77, 589?

You can find a detailed procedure to find GCD of 138, 754, 77, 589 on our page.

3. How to find GCD of 138, 754, 77, 589 on a calculator?

You can find the GCD of 138, 754, 77, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.