GCD of 74, 822, 268, 376 Calculator

Given Input numbers are 74, 822, 268, 376

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 74, 822, 268, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 822, 268, 376 is 2.

Therefore, GCD of numbers 74, 822, 268, 376 is 2

Given Input Data is 74, 822, 268, 376

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(74, 822) = 30414

GCD(74, 822) = ( 74 x 822 ) / 30414

GCD(74, 822) = 60828 / 30414

GCD(74, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

GCD of 74, 822, 268, 376 is 2

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1. What is the GCD of 74, 822, 268, 376?

GCD of 74, 822, 268, 376 is 2

2. Where do I get the detailed procedure to find GCD of 74, 822, 268, 376?

You can find a detailed procedure to find GCD of 74, 822, 268, 376 on our page.

3. How to find GCD of 74, 822, 268, 376 on a calculator?

You can find the GCD of 74, 822, 268, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.