GCD of 560, 370, 916 Calculator

Given Input numbers are 560, 370, 916

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 560, 370, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 370, 916 is 2.

Therefore, GCD of numbers 560, 370, 916 is 2

Given Input Data is 560, 370, 916

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 916 is 2 x 2 x 229

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(560, 370) = 20720

GCD(560, 370) = ( 560 x 370 ) / 20720

GCD(560, 370) = 207200 / 20720

GCD(560, 370) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 916

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

LCM(10, 916) = 4580

GCD(10, 916) = ( 10 x 916 ) / 4580

GCD(10, 916) = 9160 / 4580

GCD(10, 916) = 2

GCD of 560, 370, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 657, 261
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• GCD of 257, 538, 221
• GCD of 600, 243, 574
• GCD of 613, 597, 130

1. What is the GCD of 560, 370, 916?

GCD of 560, 370, 916 is 2

2. Where do I get the detailed procedure to find GCD of 560, 370, 916?

You can find a detailed procedure to find GCD of 560, 370, 916 on our page.

3. How to find GCD of 560, 370, 916 on a calculator?

You can find the GCD of 560, 370, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.