GCD of 894, 652, 346, 110 Calculator

Given Input numbers are 894, 652, 346, 110

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 110

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

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

Greatest Common Divisior

We found the divisors of 894, 652, 346, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 652, 346, 110 is 2.

Therefore, GCD of numbers 894, 652, 346, 110 is 2

Given Input Data is 894, 652, 346, 110

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 346 is 2 x 173

Prime Factorization of 110 is 2 x 5 x 11

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(894, 652) = 291444

GCD(894, 652) = ( 894 x 652 ) / 291444

GCD(894, 652) = 582888 / 291444

GCD(894, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 894, 652, 346, 110 is 2

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• GCD of 957, 956, 350, 684
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1. What is the GCD of 894, 652, 346, 110?

GCD of 894, 652, 346, 110 is 2

2. Where do I get the detailed procedure to find GCD of 894, 652, 346, 110?

You can find a detailed procedure to find GCD of 894, 652, 346, 110 on our page.

3. How to find GCD of 894, 652, 346, 110 on a calculator?

You can find the GCD of 894, 652, 346, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.