GCD of 732, 882, 240, 989 Calculator

Given Input numbers are 732, 882, 240, 989

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 732, 882, 240, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 882, 240, 989 is 1.

Therefore, GCD of numbers 732, 882, 240, 989 is 1

Given Input Data is 732, 882, 240, 989

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 989 is 23 x 43

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(732, 882) = 107604

GCD(732, 882) = ( 732 x 882 ) / 107604

GCD(732, 882) = 645624 / 107604

GCD(732, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 240

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

LCM(6, 240) = 240

GCD(6, 240) = ( 6 x 240 ) / 240

GCD(6, 240) = 1440 / 240

GCD(6, 240) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 989

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

LCM(6, 989) = 5934

GCD(6, 989) = ( 6 x 989 ) / 5934

GCD(6, 989) = 5934 / 5934

GCD(6, 989) = 1

GCD of 732, 882, 240, 989 is 1

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1. What is the GCD of 732, 882, 240, 989?

GCD of 732, 882, 240, 989 is 1

2. Where do I get the detailed procedure to find GCD of 732, 882, 240, 989?

You can find a detailed procedure to find GCD of 732, 882, 240, 989 on our page.

3. How to find GCD of 732, 882, 240, 989 on a calculator?

You can find the GCD of 732, 882, 240, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.