GCD of 140, 508, 669 Calculator

Given Input numbers are 140, 508, 669

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

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 140, 508, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 508, 669 is 1.

Therefore, GCD of numbers 140, 508, 669 is 1

Given Input Data is 140, 508, 669

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

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 669 is 3 x 223

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(140, 508) = 17780

GCD(140, 508) = ( 140 x 508 ) / 17780

GCD(140, 508) = 71120 / 17780

GCD(140, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 669

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

LCM(4, 669) = 2676

GCD(4, 669) = ( 4 x 669 ) / 2676

GCD(4, 669) = 2676 / 2676

GCD(4, 669) = 1

GCD of 140, 508, 669 is 1

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1. What is the GCD of 140, 508, 669?

GCD of 140, 508, 669 is 1

2. Where do I get the detailed procedure to find GCD of 140, 508, 669?

You can find a detailed procedure to find GCD of 140, 508, 669 on our page.

3. How to find GCD of 140, 508, 669 on a calculator?

You can find the GCD of 140, 508, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.