GCD of 92, 688, 934, 440 Calculator

Given Input numbers are 92, 688, 934, 440

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 92, 688, 934, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 688, 934, 440 is 2.

Therefore, GCD of numbers 92, 688, 934, 440 is 2

Given Input Data is 92, 688, 934, 440

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 934 is 2 x 467

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(92, 688) = 15824

GCD(92, 688) = ( 92 x 688 ) / 15824

GCD(92, 688) = 63296 / 15824

GCD(92, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 934

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

LCM(4, 934) = 1868

GCD(4, 934) = ( 4 x 934 ) / 1868

GCD(4, 934) = 3736 / 1868

GCD(4, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 92, 688, 934, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 589, 867, 828
• GCD of 27, 255, 120, 296
• GCD of 25, 891, 341, 267
• GCD of 17, 147, 917, 590
• GCD of 79, 782, 748, 392

1. What is the GCD of 92, 688, 934, 440?

GCD of 92, 688, 934, 440 is 2

2. Where do I get the detailed procedure to find GCD of 92, 688, 934, 440?

You can find a detailed procedure to find GCD of 92, 688, 934, 440 on our page.

3. How to find GCD of 92, 688, 934, 440 on a calculator?

You can find the GCD of 92, 688, 934, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.