GCD of 744, 240, 989, 962 Calculator

Given Input numbers are 744, 240, 989, 962

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 744, 240, 989, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 240, 989, 962 is 1.

Therefore, GCD of numbers 744, 240, 989, 962 is 1

Given Input Data is 744, 240, 989, 962

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 962 is 2 x 13 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(744, 240) = 7440

GCD(744, 240) = ( 744 x 240 ) / 7440

GCD(744, 240) = 178560 / 7440

GCD(744, 240) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 989

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

LCM(24, 989) = 23736

GCD(24, 989) = ( 24 x 989 ) / 23736

GCD(24, 989) = 23736 / 23736

GCD(24, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 744, 240, 989, 962 is 1

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1. What is the GCD of 744, 240, 989, 962?

GCD of 744, 240, 989, 962 is 1

2. Where do I get the detailed procedure to find GCD of 744, 240, 989, 962?

You can find a detailed procedure to find GCD of 744, 240, 989, 962 on our page.

3. How to find GCD of 744, 240, 989, 962 on a calculator?

You can find the GCD of 744, 240, 989, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.