GCD of 464, 994, 70, 282 Calculator

Given Input numbers are 464, 994, 70, 282

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 994

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

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 464, 994, 70, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 994, 70, 282 is 2.

Therefore, GCD of numbers 464, 994, 70, 282 is 2

Given Input Data is 464, 994, 70, 282

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 282 is 2 x 3 x 47

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(464, 994) = 230608

GCD(464, 994) = ( 464 x 994 ) / 230608

GCD(464, 994) = 461216 / 230608

GCD(464, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

GCD of 464, 994, 70, 282 is 2

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1. What is the GCD of 464, 994, 70, 282?

GCD of 464, 994, 70, 282 is 2

2. Where do I get the detailed procedure to find GCD of 464, 994, 70, 282?

You can find a detailed procedure to find GCD of 464, 994, 70, 282 on our page.

3. How to find GCD of 464, 994, 70, 282 on a calculator?

You can find the GCD of 464, 994, 70, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.