GCD of 362, 934, 28, 340 Calculator

Given Input numbers are 362, 934, 28, 340

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 934

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

1, 2, 467, 934

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 362, 934, 28, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 934, 28, 340 is 2.

Therefore, GCD of numbers 362, 934, 28, 340 is 2

Given Input Data is 362, 934, 28, 340

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 934 is 2 x 467

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(362, 934) = 169054

GCD(362, 934) = ( 362 x 934 ) / 169054

GCD(362, 934) = 338108 / 169054

GCD(362, 934) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 362, 934, 28, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 774, 67, 386
• GCD of 231, 730, 16, 440
• GCD of 968, 425, 69, 700
• GCD of 491, 633, 55, 531
• GCD of 238, 737, 30, 483

1. What is the GCD of 362, 934, 28, 340?

GCD of 362, 934, 28, 340 is 2

2. Where do I get the detailed procedure to find GCD of 362, 934, 28, 340?

You can find a detailed procedure to find GCD of 362, 934, 28, 340 on our page.

3. How to find GCD of 362, 934, 28, 340 on a calculator?

You can find the GCD of 362, 934, 28, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.