GCD of 542, 677, 958, 413 Calculator

Given Input numbers are 542, 677, 958, 413

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 413

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

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 542, 677, 958, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 677, 958, 413 is 1.

Therefore, GCD of numbers 542, 677, 958, 413 is 1

Given Input Data is 542, 677, 958, 413

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 677 is 677

Prime Factorization of 958 is 2 x 479

Prime Factorization of 413 is 7 x 59

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(542, 677) = 366934

GCD(542, 677) = ( 542 x 677 ) / 366934

GCD(542, 677) = 366934 / 366934

GCD(542, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 542, 677, 958, 413 is 1

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1. What is the GCD of 542, 677, 958, 413?

GCD of 542, 677, 958, 413 is 1

2. Where do I get the detailed procedure to find GCD of 542, 677, 958, 413?

You can find a detailed procedure to find GCD of 542, 677, 958, 413 on our page.

3. How to find GCD of 542, 677, 958, 413 on a calculator?

You can find the GCD of 542, 677, 958, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.