GCD of 954, 794, 610, 342 Calculator

Given Input numbers are 954, 794, 610, 342

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

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 954, 794, 610, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 794, 610, 342 is 2.

Therefore, GCD of numbers 954, 794, 610, 342 is 2

Given Input Data is 954, 794, 610, 342

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 794 is 2 x 397

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 342 is 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(954, 794) = 378738

GCD(954, 794) = ( 954 x 794 ) / 378738

GCD(954, 794) = 757476 / 378738

GCD(954, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 954, 794, 610, 342 is 2

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1. What is the GCD of 954, 794, 610, 342?

GCD of 954, 794, 610, 342 is 2

2. Where do I get the detailed procedure to find GCD of 954, 794, 610, 342?

You can find a detailed procedure to find GCD of 954, 794, 610, 342 on our page.

3. How to find GCD of 954, 794, 610, 342 on a calculator?

You can find the GCD of 954, 794, 610, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.