GCD of 148, 140, 699, 469 Calculator

Given Input numbers are 148, 140, 699, 469

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 148, 140, 699, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 140, 699, 469 is 1.

Therefore, GCD of numbers 148, 140, 699, 469 is 1

Given Input Data is 148, 140, 699, 469

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

Prime Factorization of 148 is 2 x 2 x 37

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 469 is 7 x 67

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(148, 140) = 5180

GCD(148, 140) = ( 148 x 140 ) / 5180

GCD(148, 140) = 20720 / 5180

GCD(148, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 699

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

LCM(4, 699) = 2796

GCD(4, 699) = ( 4 x 699 ) / 2796

GCD(4, 699) = 2796 / 2796

GCD(4, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 148, 140, 699, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 997, 214, 360
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• GCD of 829, 339, 537, 404

1. What is the GCD of 148, 140, 699, 469?

GCD of 148, 140, 699, 469 is 1

2. Where do I get the detailed procedure to find GCD of 148, 140, 699, 469?

You can find a detailed procedure to find GCD of 148, 140, 699, 469 on our page.

3. How to find GCD of 148, 140, 699, 469 on a calculator?

You can find the GCD of 148, 140, 699, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.