GCD of 924, 776, 82, 634 Calculator

Given Input numbers are 924, 776, 82, 634

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 924, 776, 82, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 776, 82, 634 is 2.

Therefore, GCD of numbers 924, 776, 82, 634 is 2

Given Input Data is 924, 776, 82, 634

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 82 is 2 x 41

Prime Factorization of 634 is 2 x 317

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(924, 776) = 179256

GCD(924, 776) = ( 924 x 776 ) / 179256

GCD(924, 776) = 717024 / 179256

GCD(924, 776) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 924, 776, 82, 634 is 2

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1. What is the GCD of 924, 776, 82, 634?

GCD of 924, 776, 82, 634 is 2

2. Where do I get the detailed procedure to find GCD of 924, 776, 82, 634?

You can find a detailed procedure to find GCD of 924, 776, 82, 634 on our page.

3. How to find GCD of 924, 776, 82, 634 on a calculator?

You can find the GCD of 924, 776, 82, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.