GCD of 117, 542, 877, 342 Calculator

Given Input numbers are 117, 542, 877, 342

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 542

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

1, 2, 271, 542

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 117, 542, 877, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 542, 877, 342 is 1.

Therefore, GCD of numbers 117, 542, 877, 342 is 1

Given Input Data is 117, 542, 877, 342

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 542 is 2 x 271

Prime Factorization of 877 is 877

Prime Factorization of 342 is 2 x 3 x 3 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(117, 542) = 63414

GCD(117, 542) = ( 117 x 542 ) / 63414

GCD(117, 542) = 63414 / 63414

GCD(117, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 877

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

LCM(1, 877) = 877

GCD(1, 877) = ( 1 x 877 ) / 877

GCD(1, 877) = 877 / 877

GCD(1, 877) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 117, 542, 877, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 715, 135, 877
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• GCD of 903, 145, 528, 438
• GCD of 712, 186, 255, 557
• GCD of 839, 953, 237, 270

1. What is the GCD of 117, 542, 877, 342?

GCD of 117, 542, 877, 342 is 1

2. Where do I get the detailed procedure to find GCD of 117, 542, 877, 342?

You can find a detailed procedure to find GCD of 117, 542, 877, 342 on our page.

3. How to find GCD of 117, 542, 877, 342 on a calculator?

You can find the GCD of 117, 542, 877, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.