GCD of 700, 486, 24, 185 Calculator

Given Input numbers are 700, 486, 24, 185

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 700, 486, 24, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 486, 24, 185 is 1.

Therefore, GCD of numbers 700, 486, 24, 185 is 1

Given Input Data is 700, 486, 24, 185

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 185 is 5 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(700, 486) = 170100

GCD(700, 486) = ( 700 x 486 ) / 170100

GCD(700, 486) = 340200 / 170100

GCD(700, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 700, 486, 24, 185 is 1

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• GCD of 839, 827, 20, 930
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1. What is the GCD of 700, 486, 24, 185?

GCD of 700, 486, 24, 185 is 1

2. Where do I get the detailed procedure to find GCD of 700, 486, 24, 185?

You can find a detailed procedure to find GCD of 700, 486, 24, 185 on our page.

3. How to find GCD of 700, 486, 24, 185 on a calculator?

You can find the GCD of 700, 486, 24, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.