GCD of 840, 974, 28 Calculator

Given Input numbers are 840, 974, 28

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 974

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

1, 2, 487, 974

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 840, 974, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 974, 28 is 2.

Therefore, GCD of numbers 840, 974, 28 is 2

Given Input Data is 840, 974, 28

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 974 is 2 x 487

Prime Factorization of 28 is 2 x 2 x 7

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(840, 974) = 409080

GCD(840, 974) = ( 840 x 974 ) / 409080

GCD(840, 974) = 818160 / 409080

GCD(840, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

GCD of 840, 974, 28 is 2

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1. What is the GCD of 840, 974, 28?

GCD of 840, 974, 28 is 2

2. Where do I get the detailed procedure to find GCD of 840, 974, 28?

You can find a detailed procedure to find GCD of 840, 974, 28 on our page.

3. How to find GCD of 840, 974, 28 on a calculator?

You can find the GCD of 840, 974, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.