GCD of 280, 370, 738 Calculator

Given Input numbers are 280, 370, 738

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 370

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

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 280, 370, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 370, 738 is 2.

Therefore, GCD of numbers 280, 370, 738 is 2

Given Input Data is 280, 370, 738

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(280, 370) = 10360

GCD(280, 370) = ( 280 x 370 ) / 10360

GCD(280, 370) = 103600 / 10360

GCD(280, 370) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 738

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

LCM(10, 738) = 3690

GCD(10, 738) = ( 10 x 738 ) / 3690

GCD(10, 738) = 7380 / 3690

GCD(10, 738) = 2

GCD of 280, 370, 738 is 2

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• GCD of 376, 827, 406
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1. What is the GCD of 280, 370, 738?

GCD of 280, 370, 738 is 2

2. Where do I get the detailed procedure to find GCD of 280, 370, 738?

You can find a detailed procedure to find GCD of 280, 370, 738 on our page.

3. How to find GCD of 280, 370, 738 on a calculator?

You can find the GCD of 280, 370, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.