GCD of 720, 605, 989, 414 Calculator

Given Input numbers are 720, 605, 989, 414

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 989

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

1, 23, 43, 989

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 720, 605, 989, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 605, 989, 414 is 1.

Therefore, GCD of numbers 720, 605, 989, 414 is 1

Given Input Data is 720, 605, 989, 414

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 989 is 23 x 43

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(720, 605) = 87120

GCD(720, 605) = ( 720 x 605 ) / 87120

GCD(720, 605) = 435600 / 87120

GCD(720, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 989

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

LCM(5, 989) = 4945

GCD(5, 989) = ( 5 x 989 ) / 4945

GCD(5, 989) = 4945 / 4945

GCD(5, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 720, 605, 989, 414 is 1

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1. What is the GCD of 720, 605, 989, 414?

GCD of 720, 605, 989, 414 is 1

2. Where do I get the detailed procedure to find GCD of 720, 605, 989, 414?

You can find a detailed procedure to find GCD of 720, 605, 989, 414 on our page.

3. How to find GCD of 720, 605, 989, 414 on a calculator?

You can find the GCD of 720, 605, 989, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.