GCD of 140, 726, 339, 583 Calculator

Given Input numbers are 140, 726, 339, 583

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 140, 726, 339, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 726, 339, 583 is 1.

Therefore, GCD of numbers 140, 726, 339, 583 is 1

Given Input Data is 140, 726, 339, 583

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 726 is 2 x 3 x 11 x 11

Prime Factorization of 339 is 3 x 113

Prime Factorization of 583 is 11 x 53

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, 726) = 50820

GCD(140, 726) = ( 140 x 726 ) / 50820

GCD(140, 726) = 101640 / 50820

GCD(140, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 140, 726, 339, 583 is 1

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• GCD of 457, 464, 299, 517
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1. What is the GCD of 140, 726, 339, 583?

GCD of 140, 726, 339, 583 is 1

2. Where do I get the detailed procedure to find GCD of 140, 726, 339, 583?

You can find a detailed procedure to find GCD of 140, 726, 339, 583 on our page.

3. How to find GCD of 140, 726, 339, 583 on a calculator?

You can find the GCD of 140, 726, 339, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.