GCD of 560, 226, 350 Calculator

Given Input numbers are 560, 226, 350

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 560, 226, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 226, 350 is 2.

Therefore, GCD of numbers 560, 226, 350 is 2

Given Input Data is 560, 226, 350

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 226 is 2 x 113

Prime Factorization of 350 is 2 x 5 x 5 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(560, 226) = 63280

GCD(560, 226) = ( 560 x 226 ) / 63280

GCD(560, 226) = 126560 / 63280

GCD(560, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

GCD of 560, 226, 350 is 2

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1. What is the GCD of 560, 226, 350?

GCD of 560, 226, 350 is 2

2. Where do I get the detailed procedure to find GCD of 560, 226, 350?

You can find a detailed procedure to find GCD of 560, 226, 350 on our page.

3. How to find GCD of 560, 226, 350 on a calculator?

You can find the GCD of 560, 226, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.