GCD of 354, 959, 54, 831 Calculator

Given Input numbers are 354, 959, 54, 831

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 354, 959, 54, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 959, 54, 831 is 1.

Therefore, GCD of numbers 354, 959, 54, 831 is 1

Given Input Data is 354, 959, 54, 831

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 959 is 7 x 137

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 831 is 3 x 277

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(354, 959) = 339486

GCD(354, 959) = ( 354 x 959 ) / 339486

GCD(354, 959) = 339486 / 339486

GCD(354, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 354, 959, 54, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 420, 28, 543
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• GCD of 665, 548, 91, 138
• GCD of 930, 803, 49, 220
• GCD of 785, 403, 48, 642

1. What is the GCD of 354, 959, 54, 831?

GCD of 354, 959, 54, 831 is 1

2. Where do I get the detailed procedure to find GCD of 354, 959, 54, 831?

You can find a detailed procedure to find GCD of 354, 959, 54, 831 on our page.

3. How to find GCD of 354, 959, 54, 831 on a calculator?

You can find the GCD of 354, 959, 54, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.