GCD of 870, 110, 402, 226 Calculator

Given Input numbers are 870, 110, 402, 226

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 870, 110, 402, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 110, 402, 226 is 2.

Therefore, GCD of numbers 870, 110, 402, 226 is 2

Given Input Data is 870, 110, 402, 226

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 226 is 2 x 113

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(870, 110) = 9570

GCD(870, 110) = ( 870 x 110 ) / 9570

GCD(870, 110) = 95700 / 9570

GCD(870, 110) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 402

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

LCM(10, 402) = 2010

GCD(10, 402) = ( 10 x 402 ) / 2010

GCD(10, 402) = 4020 / 2010

GCD(10, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 870, 110, 402, 226 is 2

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• GCD of 667, 897, 617, 640
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1. What is the GCD of 870, 110, 402, 226?

GCD of 870, 110, 402, 226 is 2

2. Where do I get the detailed procedure to find GCD of 870, 110, 402, 226?

You can find a detailed procedure to find GCD of 870, 110, 402, 226 on our page.

3. How to find GCD of 870, 110, 402, 226 on a calculator?

You can find the GCD of 870, 110, 402, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.