GCD of 140, 835, 699, 253 Calculator

Given Input numbers are 140, 835, 699, 253

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 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 699

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

1, 3, 233, 699

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 140, 835, 699, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 835, 699, 253 is 1.

Therefore, GCD of numbers 140, 835, 699, 253 is 1

Given Input Data is 140, 835, 699, 253

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 835 is 5 x 167

Prime Factorization of 699 is 3 x 233

Prime Factorization of 253 is 11 x 23

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, 835) = 23380

GCD(140, 835) = ( 140 x 835 ) / 23380

GCD(140, 835) = 116900 / 23380

GCD(140, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 699

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

LCM(5, 699) = 3495

GCD(5, 699) = ( 5 x 699 ) / 3495

GCD(5, 699) = 3495 / 3495

GCD(5, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 140, 835, 699, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 954, 884, 880
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• GCD of 672, 928, 215, 606

1. What is the GCD of 140, 835, 699, 253?

GCD of 140, 835, 699, 253 is 1

2. Where do I get the detailed procedure to find GCD of 140, 835, 699, 253?

You can find a detailed procedure to find GCD of 140, 835, 699, 253 on our page.

3. How to find GCD of 140, 835, 699, 253 on a calculator?

You can find the GCD of 140, 835, 699, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.