GCD of 898, 972, 788 Calculator

Given Input numbers are 898, 972, 788

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 898, 972, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 972, 788 is 2.

Therefore, GCD of numbers 898, 972, 788 is 2

Given Input Data is 898, 972, 788

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 788 is 2 x 2 x 197

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(898, 972) = 436428

GCD(898, 972) = ( 898 x 972 ) / 436428

GCD(898, 972) = 872856 / 436428

GCD(898, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 898, 972, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 922, 208
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• GCD of 271, 980, 534
• GCD of 872, 169, 698
• GCD of 797, 674, 543

1. What is the GCD of 898, 972, 788?

GCD of 898, 972, 788 is 2

2. Where do I get the detailed procedure to find GCD of 898, 972, 788?

You can find a detailed procedure to find GCD of 898, 972, 788 on our page.

3. How to find GCD of 898, 972, 788 on a calculator?

You can find the GCD of 898, 972, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.