GCD of 918, 974, 652, 994 Calculator

Given Input numbers are 918, 974, 652, 994

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 974

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

1, 2, 487, 974

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 918, 974, 652, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 974, 652, 994 is 2.

Therefore, GCD of numbers 918, 974, 652, 994 is 2

Given Input Data is 918, 974, 652, 994

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 974 is 2 x 487

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 994 is 2 x 7 x 71

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(918, 974) = 447066

GCD(918, 974) = ( 918 x 974 ) / 447066

GCD(918, 974) = 894132 / 447066

GCD(918, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 918, 974, 652, 994 is 2

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1. What is the GCD of 918, 974, 652, 994?

GCD of 918, 974, 652, 994 is 2

2. Where do I get the detailed procedure to find GCD of 918, 974, 652, 994?

You can find a detailed procedure to find GCD of 918, 974, 652, 994 on our page.

3. How to find GCD of 918, 974, 652, 994 on a calculator?

You can find the GCD of 918, 974, 652, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.