GCD of 149, 340, 867 Calculator

Given Input numbers are 149, 340, 867

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 149, 340, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 340, 867 is 1.

Therefore, GCD of numbers 149, 340, 867 is 1

Given Input Data is 149, 340, 867

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

Prime Factorization of 149 is 149

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 867 is 3 x 17 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, 340) = 50660

GCD(149, 340) = ( 149 x 340 ) / 50660

GCD(149, 340) = 50660 / 50660

GCD(149, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 149, 340, 867 is 1

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1. What is the GCD of 149, 340, 867?

GCD of 149, 340, 867 is 1

2. Where do I get the detailed procedure to find GCD of 149, 340, 867?

You can find a detailed procedure to find GCD of 149, 340, 867 on our page.

3. How to find GCD of 149, 340, 867 on a calculator?

You can find the GCD of 149, 340, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.