GCD of 140, 201, 731, 823 Calculator

Given Input numbers are 140, 201, 731, 823

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 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 140, 201, 731, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 201, 731, 823 is 1.

Therefore, GCD of numbers 140, 201, 731, 823 is 1

Given Input Data is 140, 201, 731, 823

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 201 is 3 x 67

Prime Factorization of 731 is 17 x 43

Prime Factorization of 823 is 823

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, 201) = 28140

GCD(140, 201) = ( 140 x 201 ) / 28140

GCD(140, 201) = 28140 / 28140

GCD(140, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 140, 201, 731, 823 is 1

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1. What is the GCD of 140, 201, 731, 823?

GCD of 140, 201, 731, 823 is 1

2. Where do I get the detailed procedure to find GCD of 140, 201, 731, 823?

You can find a detailed procedure to find GCD of 140, 201, 731, 823 on our page.

3. How to find GCD of 140, 201, 731, 823 on a calculator?

You can find the GCD of 140, 201, 731, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.