GCD of 772, 354, 74, 846 Calculator

Given Input numbers are 772, 354, 74, 846

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 772, 354, 74, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 354, 74, 846 is 2.

Therefore, GCD of numbers 772, 354, 74, 846 is 2

Given Input Data is 772, 354, 74, 846

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 74 is 2 x 37

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(772, 354) = 136644

GCD(772, 354) = ( 772 x 354 ) / 136644

GCD(772, 354) = 273288 / 136644

GCD(772, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 772, 354, 74, 846 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 308, 70, 388
• GCD of 138, 455, 64, 938
• GCD of 437, 615, 51, 146
• GCD of 109, 477, 71, 359
• GCD of 484, 185, 66, 423

1. What is the GCD of 772, 354, 74, 846?

GCD of 772, 354, 74, 846 is 2

2. Where do I get the detailed procedure to find GCD of 772, 354, 74, 846?

You can find a detailed procedure to find GCD of 772, 354, 74, 846 on our page.

3. How to find GCD of 772, 354, 74, 846 on a calculator?

You can find the GCD of 772, 354, 74, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.