GCD of 74, 440, 376, 686 Calculator

Given Input numbers are 74, 440, 376, 686

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 376

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

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 74, 440, 376, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 440, 376, 686 is 2.

Therefore, GCD of numbers 74, 440, 376, 686 is 2

Given Input Data is 74, 440, 376, 686

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

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, 440) = 16280

GCD(74, 440) = ( 74 x 440 ) / 16280

GCD(74, 440) = 32560 / 16280

GCD(74, 440) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 74, 440, 376, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 639, 357, 455
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• GCD of 95, 794, 300, 587

1. What is the GCD of 74, 440, 376, 686?

GCD of 74, 440, 376, 686 is 2

2. Where do I get the detailed procedure to find GCD of 74, 440, 376, 686?

You can find a detailed procedure to find GCD of 74, 440, 376, 686 on our page.

3. How to find GCD of 74, 440, 376, 686 on a calculator?

You can find the GCD of 74, 440, 376, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.