GCD of 498, 624, 78, 966 Calculator

Given Input numbers are 498, 624, 78, 966

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

Divisors of 498

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

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 498, 624, 78, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 624, 78, 966 is 6.

Therefore, GCD of numbers 498, 624, 78, 966 is 6

Given Input Data is 498, 624, 78, 966

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(498, 624) = 51792

GCD(498, 624) = ( 498 x 624 ) / 51792

GCD(498, 624) = 310752 / 51792

GCD(498, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 78

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

LCM(6, 78) = 78

GCD(6, 78) = ( 6 x 78 ) / 78

GCD(6, 78) = 468 / 78

GCD(6, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 966

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

LCM(6, 966) = 966

GCD(6, 966) = ( 6 x 966 ) / 966

GCD(6, 966) = 5796 / 966

GCD(6, 966) = 6

GCD of 498, 624, 78, 966 is 6

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• GCD of 607, 983, 99, 798
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1. What is the GCD of 498, 624, 78, 966?

GCD of 498, 624, 78, 966 is 6

2. Where do I get the detailed procedure to find GCD of 498, 624, 78, 966?

You can find a detailed procedure to find GCD of 498, 624, 78, 966 on our page.

3. How to find GCD of 498, 624, 78, 966 on a calculator?

You can find the GCD of 498, 624, 78, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.