GCD of 542, 680, 55, 617 Calculator

Given Input numbers are 542, 680, 55, 617

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 542, 680, 55, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 680, 55, 617 is 1.

Therefore, GCD of numbers 542, 680, 55, 617 is 1

Given Input Data is 542, 680, 55, 617

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 55 is 5 x 11

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(542, 680) = 184280

GCD(542, 680) = ( 542 x 680 ) / 184280

GCD(542, 680) = 368560 / 184280

GCD(542, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 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 542, 680, 55, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 775, 17, 825
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• GCD of 575, 911, 22, 388
• GCD of 592, 185, 89, 800

1. What is the GCD of 542, 680, 55, 617?

GCD of 542, 680, 55, 617 is 1

2. Where do I get the detailed procedure to find GCD of 542, 680, 55, 617?

You can find a detailed procedure to find GCD of 542, 680, 55, 617 on our page.

3. How to find GCD of 542, 680, 55, 617 on a calculator?

You can find the GCD of 542, 680, 55, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.