GCD of 149, 689, 426, 306 Calculator

Given Input numbers are 149, 689, 426, 306

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 149, 689, 426, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 689, 426, 306 is 1.

Therefore, GCD of numbers 149, 689, 426, 306 is 1

Given Input Data is 149, 689, 426, 306

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

Prime Factorization of 149 is 149

Prime Factorization of 689 is 13 x 53

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(149, 689) = 102661

GCD(149, 689) = ( 149 x 689 ) / 102661

GCD(149, 689) = 102661 / 102661

GCD(149, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 149, 689, 426, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 347, 119, 649
• GCD of 489, 175, 141, 194
• GCD of 193, 311, 924, 509
• GCD of 759, 379, 771, 509
• GCD of 328, 586, 974, 611

1. What is the GCD of 149, 689, 426, 306?

GCD of 149, 689, 426, 306 is 1

2. Where do I get the detailed procedure to find GCD of 149, 689, 426, 306?

You can find a detailed procedure to find GCD of 149, 689, 426, 306 on our page.

3. How to find GCD of 149, 689, 426, 306 on a calculator?

You can find the GCD of 149, 689, 426, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.