GCD of 974, 432, 50, 270 Calculator

Given Input numbers are 974, 432, 50, 270

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 974, 432, 50, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 432, 50, 270 is 2.

Therefore, GCD of numbers 974, 432, 50, 270 is 2

Given Input Data is 974, 432, 50, 270

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 270 is 2 x 3 x 3 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(974, 432) = 210384

GCD(974, 432) = ( 974 x 432 ) / 210384

GCD(974, 432) = 420768 / 210384

GCD(974, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 974, 432, 50, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 570, 24, 435
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• GCD of 743, 266, 32, 973
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• GCD of 205, 231, 61, 755

1. What is the GCD of 974, 432, 50, 270?

GCD of 974, 432, 50, 270 is 2

2. Where do I get the detailed procedure to find GCD of 974, 432, 50, 270?

You can find a detailed procedure to find GCD of 974, 432, 50, 270 on our page.

3. How to find GCD of 974, 432, 50, 270 on a calculator?

You can find the GCD of 974, 432, 50, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.