GCD of 720, 990, 390, 967 Calculator

Given Input numbers are 720, 990, 390, 967

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 720, 990, 390, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 990, 390, 967 is 1.

Therefore, GCD of numbers 720, 990, 390, 967 is 1

Given Input Data is 720, 990, 390, 967

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 967 is 967

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, 990) = 7920

GCD(720, 990) = ( 720 x 990 ) / 7920

GCD(720, 990) = 712800 / 7920

GCD(720, 990) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 390

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

LCM(90, 390) = 1170

GCD(90, 390) = ( 90 x 390 ) / 1170

GCD(90, 390) = 35100 / 1170

GCD(90, 390) = 30

Step3:

Here we consider the GCD from the above i.e. 30 as first number and the next as 967

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

LCM(30, 967) = 29010

GCD(30, 967) = ( 30 x 967 ) / 29010

GCD(30, 967) = 29010 / 29010

GCD(30, 967) = 1

GCD of 720, 990, 390, 967 is 1

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• GCD of 546, 384, 111, 468
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• GCD of 755, 518, 830, 498

1. What is the GCD of 720, 990, 390, 967?

GCD of 720, 990, 390, 967 is 1

2. Where do I get the detailed procedure to find GCD of 720, 990, 390, 967?

You can find a detailed procedure to find GCD of 720, 990, 390, 967 on our page.

3. How to find GCD of 720, 990, 390, 967 on a calculator?

You can find the GCD of 720, 990, 390, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.