GCD of 413, 140, 743, 746 Calculator

Given Input numbers are 413, 140, 743, 746

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 413, 140, 743, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 140, 743, 746 is 1.

Therefore, GCD of numbers 413, 140, 743, 746 is 1

Given Input Data is 413, 140, 743, 746

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

Prime Factorization of 413 is 7 x 59

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

Prime Factorization of 743 is 743

Prime Factorization of 746 is 2 x 373

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(413, 140) = 8260

GCD(413, 140) = ( 413 x 140 ) / 8260

GCD(413, 140) = 57820 / 8260

GCD(413, 140) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 743

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

LCM(7, 743) = 5201

GCD(7, 743) = ( 7 x 743 ) / 5201

GCD(7, 743) = 5201 / 5201

GCD(7, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 413, 140, 743, 746 is 1

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1. What is the GCD of 413, 140, 743, 746?

GCD of 413, 140, 743, 746 is 1

2. Where do I get the detailed procedure to find GCD of 413, 140, 743, 746?

You can find a detailed procedure to find GCD of 413, 140, 743, 746 on our page.

3. How to find GCD of 413, 140, 743, 746 on a calculator?

You can find the GCD of 413, 140, 743, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.