GCD of 772, 846, 434 Calculator

Given Input numbers are 772, 846, 434

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 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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 772, 846, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 846, 434 is 2.

Therefore, GCD of numbers 772, 846, 434 is 2

Given Input Data is 772, 846, 434

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 846 is 2 x 3 x 3 x 47

Prime Factorization of 434 is 2 x 7 x 31

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, 846) = 326556

GCD(772, 846) = ( 772 x 846 ) / 326556

GCD(772, 846) = 653112 / 326556

GCD(772, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

GCD of 772, 846, 434 is 2

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1. What is the GCD of 772, 846, 434?

GCD of 772, 846, 434 is 2

2. Where do I get the detailed procedure to find GCD of 772, 846, 434?

You can find a detailed procedure to find GCD of 772, 846, 434 on our page.

3. How to find GCD of 772, 846, 434 on a calculator?

You can find the GCD of 772, 846, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.