GCD of 50, 677, 542, 617 Calculator

Given Input numbers are 50, 677, 542, 617

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 677

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

1, 677

Divisors of 542

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

1, 2, 271, 542

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 50, 677, 542, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 677, 542, 617 is 1.

Therefore, GCD of numbers 50, 677, 542, 617 is 1

Given Input Data is 50, 677, 542, 617

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 677 is 677

Prime Factorization of 542 is 2 x 271

Prime Factorization of 617 is 617

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(50, 677) = 33850

GCD(50, 677) = ( 50 x 677 ) / 33850

GCD(50, 677) = 33850 / 33850

GCD(50, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 50, 677, 542, 617 is 1

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1. What is the GCD of 50, 677, 542, 617?

GCD of 50, 677, 542, 617 is 1

2. Where do I get the detailed procedure to find GCD of 50, 677, 542, 617?

You can find a detailed procedure to find GCD of 50, 677, 542, 617 on our page.

3. How to find GCD of 50, 677, 542, 617 on a calculator?

You can find the GCD of 50, 677, 542, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.