GCD of 996, 770, 924, 498 Calculator

Given Input numbers are 996, 770, 924, 498

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 996, 770, 924, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 770, 924, 498 is 2.

Therefore, GCD of numbers 996, 770, 924, 498 is 2

Given Input Data is 996, 770, 924, 498

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Prime Factorization of 498 is 2 x 3 x 83

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(996, 770) = 383460

GCD(996, 770) = ( 996 x 770 ) / 383460

GCD(996, 770) = 766920 / 383460

GCD(996, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

GCD of 996, 770, 924, 498 is 2

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• GCD of 968, 285, 501, 165
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1. What is the GCD of 996, 770, 924, 498?

GCD of 996, 770, 924, 498 is 2

2. Where do I get the detailed procedure to find GCD of 996, 770, 924, 498?

You can find a detailed procedure to find GCD of 996, 770, 924, 498 on our page.

3. How to find GCD of 996, 770, 924, 498 on a calculator?

You can find the GCD of 996, 770, 924, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.