GCD of 742, 796, 520, 624 Calculator

Given Input numbers are 742, 796, 520, 624

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

Greatest Common Divisior

We found the divisors of 742, 796, 520, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 796, 520, 624 is 2.

Therefore, GCD of numbers 742, 796, 520, 624 is 2

Given Input Data is 742, 796, 520, 624

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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

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(742, 796) = 295316

GCD(742, 796) = ( 742 x 796 ) / 295316

GCD(742, 796) = 590632 / 295316

GCD(742, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 742, 796, 520, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 246, 671, 767
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• GCD of 421, 132, 701, 186

1. What is the GCD of 742, 796, 520, 624?

GCD of 742, 796, 520, 624 is 2

2. Where do I get the detailed procedure to find GCD of 742, 796, 520, 624?

You can find a detailed procedure to find GCD of 742, 796, 520, 624 on our page.

3. How to find GCD of 742, 796, 520, 624 on a calculator?

You can find the GCD of 742, 796, 520, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.