GCD of 460, 741, 83, 418 Calculator

Given Input numbers are 460, 741, 83, 418

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 460, 741, 83, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 741, 83, 418 is 1.

Therefore, GCD of numbers 460, 741, 83, 418 is 1

Given Input Data is 460, 741, 83, 418

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 83 is 83

Prime Factorization of 418 is 2 x 11 x 19

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(460, 741) = 340860

GCD(460, 741) = ( 460 x 741 ) / 340860

GCD(460, 741) = 340860 / 340860

GCD(460, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 460, 741, 83, 418 is 1

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• GCD of 554, 928, 85, 957
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1. What is the GCD of 460, 741, 83, 418?

GCD of 460, 741, 83, 418 is 1

2. Where do I get the detailed procedure to find GCD of 460, 741, 83, 418?

You can find a detailed procedure to find GCD of 460, 741, 83, 418 on our page.

3. How to find GCD of 460, 741, 83, 418 on a calculator?

You can find the GCD of 460, 741, 83, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.