GCD of 970, 450, 26, 894 Calculator

Given Input numbers are 970, 450, 26, 894

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 894

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

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

Greatest Common Divisior

We found the divisors of 970, 450, 26, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 450, 26, 894 is 2.

Therefore, GCD of numbers 970, 450, 26, 894 is 2

Given Input Data is 970, 450, 26, 894

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 26 is 2 x 13

Prime Factorization of 894 is 2 x 3 x 149

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(970, 450) = 43650

GCD(970, 450) = ( 970 x 450 ) / 43650

GCD(970, 450) = 436500 / 43650

GCD(970, 450) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 26

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

LCM(10, 26) = 130

GCD(10, 26) = ( 10 x 26 ) / 130

GCD(10, 26) = 260 / 130

GCD(10, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 970, 450, 26, 894 is 2

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• GCD of 741, 741, 77, 244
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• GCD of 214, 205, 78, 974

1. What is the GCD of 970, 450, 26, 894?

GCD of 970, 450, 26, 894 is 2

2. Where do I get the detailed procedure to find GCD of 970, 450, 26, 894?

You can find a detailed procedure to find GCD of 970, 450, 26, 894 on our page.

3. How to find GCD of 970, 450, 26, 894 on a calculator?

You can find the GCD of 970, 450, 26, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.