GCD of 76, 810, 474, 370 Calculator

Given Input numbers are 76, 810, 474, 370

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 76, 810, 474, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 810, 474, 370 is 2.

Therefore, GCD of numbers 76, 810, 474, 370 is 2

Given Input Data is 76, 810, 474, 370

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 370 is 2 x 5 x 37

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(76, 810) = 30780

GCD(76, 810) = ( 76 x 810 ) / 30780

GCD(76, 810) = 61560 / 30780

GCD(76, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 76, 810, 474, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 906, 398, 653
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• GCD of 56, 348, 948, 430

1. What is the GCD of 76, 810, 474, 370?

GCD of 76, 810, 474, 370 is 2

2. Where do I get the detailed procedure to find GCD of 76, 810, 474, 370?

You can find a detailed procedure to find GCD of 76, 810, 474, 370 on our page.

3. How to find GCD of 76, 810, 474, 370 on a calculator?

You can find the GCD of 76, 810, 474, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.