GCD of 114, 594, 784, 958 Calculator

Given Input numbers are 114, 594, 784, 958

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 114, 594, 784, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 594, 784, 958 is 2.

Therefore, GCD of numbers 114, 594, 784, 958 is 2

Given Input Data is 114, 594, 784, 958

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 958 is 2 x 479

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(114, 594) = 11286

GCD(114, 594) = ( 114 x 594 ) / 11286

GCD(114, 594) = 67716 / 11286

GCD(114, 594) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 784

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

LCM(6, 784) = 2352

GCD(6, 784) = ( 6 x 784 ) / 2352

GCD(6, 784) = 4704 / 2352

GCD(6, 784) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 114, 594, 784, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 466, 972, 933
• GCD of 757, 559, 707, 563
• GCD of 257, 278, 689, 513
• GCD of 647, 131, 995, 365
• GCD of 790, 691, 721, 971

1. What is the GCD of 114, 594, 784, 958?

GCD of 114, 594, 784, 958 is 2

2. Where do I get the detailed procedure to find GCD of 114, 594, 784, 958?

You can find a detailed procedure to find GCD of 114, 594, 784, 958 on our page.

3. How to find GCD of 114, 594, 784, 958 on a calculator?

You can find the GCD of 114, 594, 784, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.