GCD of 938, 756, 24, 802 Calculator

Given Input numbers are 938, 756, 24, 802

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 938, 756, 24, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 756, 24, 802 is 2.

Therefore, GCD of numbers 938, 756, 24, 802 is 2

Given Input Data is 938, 756, 24, 802

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 802 is 2 x 401

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(938, 756) = 50652

GCD(938, 756) = ( 938 x 756 ) / 50652

GCD(938, 756) = 709128 / 50652

GCD(938, 756) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 24

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

LCM(14, 24) = 168

GCD(14, 24) = ( 14 x 24 ) / 168

GCD(14, 24) = 336 / 168

GCD(14, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

GCD of 938, 756, 24, 802 is 2

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1. What is the GCD of 938, 756, 24, 802?

GCD of 938, 756, 24, 802 is 2

2. Where do I get the detailed procedure to find GCD of 938, 756, 24, 802?

You can find a detailed procedure to find GCD of 938, 756, 24, 802 on our page.

3. How to find GCD of 938, 756, 24, 802 on a calculator?

You can find the GCD of 938, 756, 24, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.