GCD of 149, 819, 639, 840 Calculator

Given Input numbers are 149, 819, 639, 840

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 149, 819, 639, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 819, 639, 840 is 1.

Therefore, GCD of numbers 149, 819, 639, 840 is 1

Given Input Data is 149, 819, 639, 840

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

Prime Factorization of 149 is 149

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 840 is 2 x 2 x 2 x 3 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(149, 819) = 122031

GCD(149, 819) = ( 149 x 819 ) / 122031

GCD(149, 819) = 122031 / 122031

GCD(149, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 149, 819, 639, 840 is 1

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1. What is the GCD of 149, 819, 639, 840?

GCD of 149, 819, 639, 840 is 1

2. Where do I get the detailed procedure to find GCD of 149, 819, 639, 840?

You can find a detailed procedure to find GCD of 149, 819, 639, 840 on our page.

3. How to find GCD of 149, 819, 639, 840 on a calculator?

You can find the GCD of 149, 819, 639, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.