GCD of 690, 464, 186, 282 Calculator

Given Input numbers are 690, 464, 186, 282

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

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 690, 464, 186, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 464, 186, 282 is 2.

Therefore, GCD of numbers 690, 464, 186, 282 is 2

Given Input Data is 690, 464, 186, 282

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

Prime Factorization of 186 is 2 x 3 x 31

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(690, 464) = 160080

GCD(690, 464) = ( 690 x 464 ) / 160080

GCD(690, 464) = 320160 / 160080

GCD(690, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 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 690, 464, 186, 282 is 2

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1. What is the GCD of 690, 464, 186, 282?

GCD of 690, 464, 186, 282 is 2

2. Where do I get the detailed procedure to find GCD of 690, 464, 186, 282?

You can find a detailed procedure to find GCD of 690, 464, 186, 282 on our page.

3. How to find GCD of 690, 464, 186, 282 on a calculator?

You can find the GCD of 690, 464, 186, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.