GCD of 274, 240, 370 Calculator

Given Input numbers are 274, 240, 370

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 274, 240, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 240, 370 is 2.

Therefore, GCD of numbers 274, 240, 370 is 2

Given Input Data is 274, 240, 370

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(274, 240) = 32880

GCD(274, 240) = ( 274 x 240 ) / 32880

GCD(274, 240) = 65760 / 32880

GCD(274, 240) = 2

Step2:

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 274, 240, 370 is 2

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• GCD of 729, 381, 909
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1. What is the GCD of 274, 240, 370?

GCD of 274, 240, 370 is 2

2. Where do I get the detailed procedure to find GCD of 274, 240, 370?

You can find a detailed procedure to find GCD of 274, 240, 370 on our page.

3. How to find GCD of 274, 240, 370 on a calculator?

You can find the GCD of 274, 240, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.