GCD of 230, 350, 972, 240 Calculator

Given Input numbers are 230, 350, 972, 240

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

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

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 230, 350, 972, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 350, 972, 240 is 2.

Therefore, GCD of numbers 230, 350, 972, 240 is 2

Given Input Data is 230, 350, 972, 240

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(230, 350) = 8050

GCD(230, 350) = ( 230 x 350 ) / 8050

GCD(230, 350) = 80500 / 8050

GCD(230, 350) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 972

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

LCM(10, 972) = 4860

GCD(10, 972) = ( 10 x 972 ) / 4860

GCD(10, 972) = 9720 / 4860

GCD(10, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 230, 350, 972, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 876, 567, 363
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• GCD of 756, 839, 797, 729

1. What is the GCD of 230, 350, 972, 240?

GCD of 230, 350, 972, 240 is 2

2. Where do I get the detailed procedure to find GCD of 230, 350, 972, 240?

You can find a detailed procedure to find GCD of 230, 350, 972, 240 on our page.

3. How to find GCD of 230, 350, 972, 240 on a calculator?

You can find the GCD of 230, 350, 972, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.