GCD of 726, 634, 667, 149 Calculator

Given Input numbers are 726, 634, 667, 149

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 149

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

1, 149

Greatest Common Divisior

We found the divisors of 726, 634, 667, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 634, 667, 149 is 1.

Therefore, GCD of numbers 726, 634, 667, 149 is 1

Given Input Data is 726, 634, 667, 149

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 634 is 2 x 317

Prime Factorization of 667 is 23 x 29

Prime Factorization of 149 is 149

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(726, 634) = 230142

GCD(726, 634) = ( 726 x 634 ) / 230142

GCD(726, 634) = 460284 / 230142

GCD(726, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 726, 634, 667, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 720, 963, 103
• GCD of 445, 216, 673, 300
• GCD of 118, 752, 183, 910
• GCD of 620, 952, 238, 764
• GCD of 599, 261, 203, 958

1. What is the GCD of 726, 634, 667, 149?

GCD of 726, 634, 667, 149 is 1

2. Where do I get the detailed procedure to find GCD of 726, 634, 667, 149?

You can find a detailed procedure to find GCD of 726, 634, 667, 149 on our page.

3. How to find GCD of 726, 634, 667, 149 on a calculator?

You can find the GCD of 726, 634, 667, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.