GCD of 162, 149, 140 Calculator

Given Input numbers are 162, 149, 140

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 149

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

1, 149

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 162, 149, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 149, 140 is 1.

Therefore, GCD of numbers 162, 149, 140 is 1

Given Input Data is 162, 149, 140

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 149 is 149

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(162, 149) = 24138

GCD(162, 149) = ( 162 x 149 ) / 24138

GCD(162, 149) = 24138 / 24138

GCD(162, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 162, 149, 140 is 1

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1. What is the GCD of 162, 149, 140?

GCD of 162, 149, 140 is 1

2. Where do I get the detailed procedure to find GCD of 162, 149, 140?

You can find a detailed procedure to find GCD of 162, 149, 140 on our page.

3. How to find GCD of 162, 149, 140 on a calculator?

You can find the GCD of 162, 149, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.